Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q...

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Chapter 8 Pythagorean Theorem 45-45- 90 30-60-90 Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

Transcript of Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q...

Page 1: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

Chapter 8PythagoreanTheorem 45-45-90 30-60-90 Trig

Angles of Elevation

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

Page 2: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Question from Pythagorean

Find the value of x. Keep answers in simplest radical form.

Page 3: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Answer from Pythagorean

Page 4: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Question from Pythagorean

Find the value of x. Keep answers in simplest radical form.

Page 5: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Answer from Pythagorean

Page 6: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Question from Pythagorean

The lengths of the sides of a triangle are given. Classify the triangle as acute, right, or obtuse.

Sides 11, 12, and 15

Page 7: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Answer from Pythagorean

acute

Page 8: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Question from Pythagorean

Brick lost his trident on top of the roof of his house. Champ decided to help Brick retrieve his trident. Champ leans a 15 ft ladder against Brick’s house. The base of the ladder is 5 ft from the house. To the nearest tenth of a foot, how high on the house does the ladder reach?

Page 9: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Answer from Pythagorean

14.1 ft

Page 10: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Question from Pythagorean

Find the value of x. Leave your answer in simplest radical form.

Page 11: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Answer from Pythagorean

Page 12: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Question from 45-45-90

Find the value of each variable. Leave answers in simplest radical form.

Page 13: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Answer from 45-45-90

Page 14: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Question from 45-45-90

Find the value of the variable. Leave answers in simplest radical form.

Page 15: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Answer from 45-45-90

Page 16: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Question from 45-45-90

A high school softball diamond is a square. The distance from base to base is 60 ft. To the nearest foot, how far does a catcher throw the ball from home plate to second base?

Page 17: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Answer from 45-45-90

85 ft

Page 18: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Question from 45-45-90

Find the value of each variable. Leave answers in simplest radical form.

Page 19: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Answer from 45-45-90

Page 20: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Question from 45-45-90

Find the value of each variable. Leave answers in simplest radical form.

Page 21: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Answer from 45-45-90

Page 22: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Question from 30-60-90

Find the value of each variable. Leave answers in simplest radical form.

Page 23: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Answer from 30-60-90

Page 24: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Question from 30-60-90

Find the value of each variable. Leave answers in simplest radical form.

Page 25: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Answer from 30-60-90

Page 26: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Question from 30-60-90Mr. Fal is at the bottom of the escalator, and he wants to head up because Mrs. McPherson is waiting with HSPA problems for him to complete. How far does Mr. Fal have to travel from the bottom to the top of the escalator?

Page 27: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Answer from 30-60-90

43 ft

Page 28: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Question from 30-60-90

Find the value of each variable. Leave answers in simplest radical form.

Page 29: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Answer from 30-60-90

Page 30: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Question from 30-60-90

Find the value of each variable. Leave answers in simplest radical form.

Page 31: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Answer from 30-60-90

a=4, b=4

Page 32: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Question from Trig

Find the value of x. Round answers to the nearest tenth.

Page 33: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Answer from Trig

Page 34: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Question from Trig

Find the value of x. Round answers to the nearest tenth.

Page 35: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Answer from Trig

Page 36: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Question from Trig

Find the value of x. Round answers to the nearest degree.

Page 37: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Answer from Trig

Page 38: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Question from Trig

Find the values of w and x. Round answers to the nearest tenth.

Page 39: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Answer from Trig

Page 40: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Question from Trig

Page 41: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Answer from Trig

Page 42: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Question from Elevation

Find the value of x. Round lengths to the nearest tenth.

Page 43: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$100 Answer from Elevation

Page 44: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Question from Elevation

Find the value of x. Round lengths to the nearest tenth.

Page 45: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$200 Answer from Elevation

Page 46: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Question from Elevation

From the ground, Ms. Okul measures an angle of elevation to the top of the geyser of 29.7 degrees. Find the height of the geyser, to the nearest foot.

Page 47: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$300 Answer from Elevation

559 ft

Page 48: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Question from Elevation

Ms. Manzella is stuck up in a tree. Mr. Frew, who is 6 ft tall, is viewing the top of the tree with an angle of elevation of 83 degrees. He is standing 12 ft from the base of the tree. How tall is the tree that Ms. Manzella is stuck in?

Page 49: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$400 Answer from Elevation

104 ft

Page 50: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Question from Elevation

A blimp is providing aerial television views of Cowboys Stadium. The television camera sights the stadium at a 7 degree angle of depression. The blimp’s altitude is 400 m. What is the line-of-sight distance from the TV camera to the stadium, to the nearest meter?

Page 51: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

$500 Answer from Elevation

3282 m

Page 52: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

Final JeopardyVeronica Corningstone is 5 ft tall. She is standing 15 ft from a statue of Ron Burgundy. She must look up at an angle of 60 degrees to see the top of Mr. Burgundy’s head. How tall is the statue of Ron Burgundy?

Page 53: Chapter 8 Pythagorean Theorem 45-45-9030-60-90Trig Angles of Elevation Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

Final Jeopardy Answer

31 ft