In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 16 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain. 3.5° -16 mi Not drawn to scale

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Chapter2: Right Triangle Trigonometry
Section2.4: Applications
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Precalculus 1, Thank you for your work!

In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak)
is 3.5°. After you drive 16 miles closer to the mountain, the angle of elevation is 9°. Approximate the height
of the mountain.
3.5°
-16 mi
Not drawn to scale
Step 1
Let h be the height of the mountain and d be the horizontal distance from where the 9° angle of elevation is
sighted to the point at that level directly below the mountain peak.
Find the value oftan(3.5°)
h
tan(3.5°) =
opp
%3D
adj
Transcribed Image Text:In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 16 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain. 3.5° -16 mi Not drawn to scale Step 1 Let h be the height of the mountain and d be the horizontal distance from where the 9° angle of elevation is sighted to the point at that level directly below the mountain peak. Find the value oftan(3.5°) h tan(3.5°) = opp %3D adj
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