example 4 find a hypotenuse using an angle of depression skiing you are skiing on a mountain with an...
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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?
EXAMPLE 4 Find a hypotenuse using an angle of depression
SOLUTION
sin 21oWrite ratio for sine of 21o.
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.
opp. hyp.=
1200x=
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