EXAMPLE 4 Using a Sine Ratio Ski Jump A ski jump is 380 feet long and makes a 27.6 ° angle with the...
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EXAMPLE 4 Using a Sine Ratio Ski Jump A ski jump is 380 feet long and makes a 27.6° angle with the ground. Find the height x of the ski jump. sin 27.6° = hypotenuse opposite 176.05 x Definition of sine Substitute. Multiply each side by 380. Use a calculator. = x 38 0 sin 27.6° 380 = x 38 0 380 sin 27.6°
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Transcript of EXAMPLE 4 Using a Sine Ratio Ski Jump A ski jump is 380 feet long and makes a 27.6 ° angle with the...
EXAMPLE 4 Using a Sine Ratio
Ski Jump
A ski jump is 380 feet long and makes a 27.6° angle with the ground. Find the height x of the ski jump.
sin 27.6° = hypotenuseopposite
176.05 x
Definition of sine
Substitute.
Multiply each side by 380.
Use a calculator.
= x380sin 27.6°
380 = x380380sin 27.6°
EXAMPLE 4 Using a Sine Ratio
The ski jump is about 176 feet high.
ANSWER
EXAMPLE 5Using a Tangent Ratio
A water slide makes an angle of about 18° with the ground. The slide extends horizontally about 64.2 meters. What is the height of the slide.
SOLUTION
Use the tangent ratio.
tan 18° = adjacentopposite Definition of tangent
Substitute.= h64.2tan 18°
EXAMPLE 5Using a Tangent Ratio
The height of the water slide is about 20.9 meters.
ANSWER
20.85984 h
Multiply each side by 64.2.
Use a calculator.
64.2 = 64.2h64.2tan 18°
GUIDED PRACTICE for Examples 4 and 5
8. What If?
In Example 4, what is the height x if the anglemeasure is 31o?
ANSWER
The ski jump is about 196 feet high
GUIDED PRACTICE for Examples 4 and 5
ANSWER
The height of the water slide is about 18 meters
9. What If?
In Example 5, what is the height h if the anglemeasure is 16o?
