EXAMPLE 4
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Transcript of EXAMPLE 4
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
6
Suppose the angle of depression in Example 4 is 28°. About how far would you ski?
WHAT IF ?
SOLUTION
sin 28oWrite ratio for sine of 28o.
sin 28o Substitute.
x sin 28o = 1200 Multiply each side by x.
x = 1200. sin 28o Divide each side by sin 28o
opp hyp=
1200x=
GUIDED PRACTICE for Examples 4
x 1200. 0.4694
Use a calculator to find sin 28o
x 2556m Simplify.