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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 0.3584 ANSWER

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EXAMPLE 4

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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


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=

opp hyp

1200

=

x

xsin 21o

1200.

x =

sin21o

1200.

x

0.3584

ANSWER

x

3348.2

You ski about 3348 meters down the mountain.

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.


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=

opp hyp

1200

=

x

xsin 28o

1200.

x =

sin28o

for Example 4

GUIDED PRACTICE

6

WHAT IF ?

Suppose the angle of depression in Example 4 is 28°. About how far would you ski?

SOLUTION

sin 28o

Write ratio for sine of 28o.

sin 28o

Substitute.

= 1200

Multiply each side by x.

Divide each side by sin 28o


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1200.

x

0.4694

x

2556m

for Examples 4

GUIDED PRACTICE

Use a calculator to find sin28o

Simplify.


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