You are looking up at the top of a building at an angle of 30.6 degrees from the horizontal. if the building is 42.0m tall, how far are you from the building? assume that you are 1.50m tall.

The distance between the person and the building is 68.48 meters.

Explanation:

It is given that,

Angle of elevation, θ = 30.6 degrees

Height of building, MP = 42 m

Height of person, AB = 1.5 m

We need to find the distance between person and building. It is given by BP.

Since, MN + NP = 42

So, MN = 40.5 m

Using trigonometric equation as :

AN = 68.48 meters.

So, the distance between the person and the building is 68.48 meters. Hence, this is the required solution.