Find the angle of elevation of the top of a flag staff which is 31.9m high from a point 55m away from the ground level

1 answer

To find the angle of elevation, we can use the tangent function.

Tan(angle) = Opposite/Adjacent

In this case, the opposite side is the height of the flag staff (31.9m) and the adjacent side is the distance from the point to the ground level (55m).

Tan(angle) = 31.9/55
Tan(angle) = 0.580

Taking the inverse tangent of both sides gives:
Angle = tan^(-1)(0.580)
Angle ≈ 29.6 degrees

Therefore, the angle of elevation of the top of the flag staff is approximately 29.6 degrees.