A ramp has been built to make a stage wheelchair accessible. The building

inspector needs to find the angle of the ramp to see if it meets regulations. He has no

instrument for measuring angles. With a tape measure, he sees the stage is 4 ft high and the distance along the

ramp is 28 ft.

Applications Involving Right Triangles

Section 5.1Section 5.1

What will you need?

• Pythagorean Theorem• SOH CAH TOA

• Keep your calculator in DEGREES when solving problems involving triangles!

• Pythagorean Theorem• SOH CAH TOA

• Keep your calculator in DEGREES when solving problems involving triangles!

Given 2 angles (1 that’s a right angle) and a

side:• Find the 3rd angle• Use SOH CAH TOA to find the

2nd side• Use the Pythagorean Theorem

to find the 3rd side

• Find the 3rd angle• Use SOH CAH TOA to find the

2nd side• Use the Pythagorean Theorem

to find the 3rd side

Given 2 sides and a right angle:

• Find the 3rd side using the Pythagorean Theorem

• Use SOH CAH TOA to find the 2nd angle

• Find the 3rd angle

• Find the 3rd side using the Pythagorean Theorem

• Use SOH CAH TOA to find the 2nd angle

• Find the 3rd angle

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Page 293 #25

A ramp has been built to make a stage wheelchair accessible. The building

inspector needs to find the angle of the ramp to see if it meets regulations. He has no

instrument for measuring angles. With a tape measure, he sees the stage is 4 ft high and the distance along the

ramp is 28 ft.

Pages 293-294(15, 18, 21, 22, 27, 28, 31, 32)