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the angle of elevation from point A to the top of the press box is 49 digree. if point A is 400ft from the base of press box, how high is the press box?

the angle of elevation from point A to the top of the press box is 49 digree. if point-example-1
User Wherby
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1 Answer

5 votes

Answer:

Press box is 460.15 feet high.

Explanation:

From the picture attached,

Point A is 400 feet away from the press box.

Angle of elevation of point C is 49°.

By applying tangent rule in the given right triangle,

tan(49°) =
\frac{\text{Opposite side}}{\text{Adjacent side}}

tan(49°) =
(BC)/(AB)

BC = ABtan(49°)

BC = 400[tan(49°)]

BC = 460.15 ft

Therefore, press box is 460.15 feet high.

the angle of elevation from point A to the top of the press box is 49 digree. if point-example-1
User Suraj Sharma
by
5.6k points