EXAMPLE 4 Using a Sine Ratio Ski Jump

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Presentation transcript:

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 Definition of sine = x 380 sin 27.6° Substitute. 380 = x sin 27.6° Multiply each side by 380. 176.05 x Use a calculator.

EXAMPLE 4 Using a Sine Ratio The ski jump is about 176 feet high. ANSWER

EXAMPLE 5 Using 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° = adjacent opposite Definition of tangent = h 64.2 tan 18° Substitute.

The height of the water slide is about 20.9 meters. ANSWER EXAMPLE 5 Using a Tangent Ratio 64.2 = h tan 18° Multiply each side by 64.2. 20.85984 h Use a calculator. The height of the water slide is about 20.9 meters. ANSWER

GUIDED PRACTICE for Examples 4 and 5 8. What If? In Example 4, what is the height x if the angle measure is 31o? ANSWER The ski jump is about 196 feet high

GUIDED PRACTICE for Examples 4 and 5 9. What If? In Example 5, what is the height h if the angle measure is 16o? ANSWER The height of the water slide is about 18 meters