Question

Find the angle of depression from the top of a 140m high pillar of a milestone on the ground at a distance of 200m from the foot of the pillar. 

Answer 1

Let AB be the pillar. Let the angle of depression be θ. 

In triangle ABC, 

`tanθ = "AB"/"BC"`

⇒ `tanθ = 140/200 = 7/10 = 0.7`

We have : `tan 35^circ = 0.7`

Thus , the angle of depression is θ = 35°.