EXAMPLE 4 Find a hypotenuse using an angle of depression SKIING

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Presentation transcript:

EXAMPLE 4 Find a hypotenuse using an angle of depression SKIING You are skiing on a mountain with an altitude of 1200 meters. The angle of depression is 21o. About how far do you ski down the mountain?

Find a hypotenuse using an angle of depression EXAMPLE 4 Find a hypotenuse using an angle of depression SOLUTION opp. hyp. = sin 21o Write ratio for sine of 21o. 1200 x = sin 21o Substitute. x sin 21o = 1200 Multiply each side by x. x = 1200 sin 21o Divide each side by sin 21o x 1200 0.3584 Use a calculator to find sin 21o x 3348.2 Simplify. ANSWER You ski about 3348 meters down the mountain.

GUIDED PRACTICE for Example 4 Suppose the angle of depression in Example 4 is 28°. About how far would you ski? 6. WHAT IF? ANSWER about 2556 m