Question

Find the angles of elevation of the top of a flag staff 31.9m high from a point 55m away on the level ground

Answer 1

To find the angles of elevation of the top of the flag staff, we can use the right triangle formed by the flag staff, the ground, and the line of sight from the point on the ground.

Let the angle of elevation be θ. We can use the tangent function to find θ:

tan(θ) = opposite/adjacent
tan(θ) = 31.9/55
θ = tan⁻¹(31.9/55)
θ ≈ 30.3 degrees

Therefore, the angle of elevation of the top of the flag staff from the point on the ground is approximately 30.3 degrees.