1. 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.

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

3. 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.

4. 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. h
Use a calculator.
The height of the water slide is about 20.9 meters.
ANSWER

5. 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

6. 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