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EXAMPLE 4

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

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EXAMPLE 4

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  1. 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? EXAMPLE 4 Find a hypotenuse using an angle of depression SKIING

  2. = opp. hyp. 1200 = x x sin 21o 1200 x = sin21o 1200 x 0.3584 ANSWER You ski about 3348 meters down the mountain. x 3348.2 EXAMPLE 4 Find a hypotenuse using an angle of depression SOLUTION sin 21o Write ratio for sine of 21o. sin 21o Substitute. = 1200 Multiply each side by x. Divide each side by sin 21o Use a calculator to find sin21o Simplify.

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

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