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When the angle of elevation of the sun was 55 degrees, the length of the flagpole was 210ft. Find the height of the flagpole to the nearest foot.

When the angle of elevation of the sun was 55 degrees, the length of the flagpole was 210ft. Find the height of the flagpole to the nearest foot.
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5 votes
When the angle of elevation of the sun was 55 degrees, the length of the flagpole was 210ft. Find the height of the flagpole to the nearest foot.

User Vadorequest
by
8.3k points

1 Answer

5 votes
We have a right triangle;
Data:
Ф=55º
adjacent=210 ft
opposite=height of the flagpole=h

tan Ф=opposite/ adjacent
tan 55º=h/(210 ft)
h=(210 ft)*tan 55º
h≈300 ft

Answer: the height of the flagpole would be 300 ft.
User Sam Herrmann
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7.9k points
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