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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 21°. About how far do you ski down the mountain?
21
1200 ft
Not drawn to scale
Solution
opp.
һуp.
Write ratio for sine of 21".
sin 21°
sin 21°
1200
Substitute.
x• sin 21°
1200
Multiply each side by x.
1200
sin 21°
Divide each side by sin 21°.
1200
Use a calculator to find sin 21°.
0.3584
x- 3348.2
Simplify.
You ski about 3348 meters down the mountain.
Transcribed Image Text: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 21°. About how far do you ski down the mountain? 21 1200 ft Not drawn to scale Solution opp. һуp. Write ratio for sine of 21". sin 21° sin 21° 1200 Substitute. x• sin 21° 1200 Multiply each side by x. 1200 sin 21° Divide each side by sin 21°. 1200 Use a calculator to find sin 21°. 0.3584 x- 3348.2 Simplify. You ski about 3348 meters down the mountain.
6) Suppose the angle of depression in Example 4 is 28°. About how far would you ski?
Transcribed Image Text:6) Suppose the angle of depression in Example 4 is 28°. About how far would you ski?
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