Question

A man whose eye level is 1.75m high can just see the sun over a fence 2.5m high. if the fence is 5m away from him, what is the angle of elevation of the sun

Answer 1

The angle of elevation of the sun is 40.4°

We know that, the angle of elevation is an angle between the horizontal plane and the oblique line from the observer's eye to some object which is above his eye.

The vertical height would be,

1.75m + 2.5m = 4.25 m

The fence is 5m away from the man

So, the horizontal distance = 5 m

Let x = 4.25 m and y = 5 m

Let θ the angle of elevation of the sun

⇒  tan(θ) = x/y

⇒ tan(θ) = 4.25 / 5

⇒ tan(θ) = 0.85

⇒ θ = $tan^{-1}$(0.85)

⇒ θ = 40.4°

Therefore, the angle of elevation of the sun is 40.4°

Learn more about the angle of elevation here:

https://brainly.com/question/21137209

#SPJ4