A boy 1.5m tall,is 20m away from a tower 30m high.Determine the angle of elevation from his eye to the top of the tower.

1 answer

Once you draw the diagram, you can form a triangle to solve the problem.

For this triangle,
Side 1 = base = distance = 20m
Side 2 = height = (30 - 1.5) = 28.5m
Side 3 = hypotenuse

Angle of elevation = θ

From the diagram,
tanθ = height/base
= 28.5/20
= 1.425

θ = arctan(1.425)
= 54.9 degrees