Problema Solution

A 2 m tall person standing on the ground looks up at an angle of 34 o with the horizontal and sees the top of a tree and the top of a building aligned. The tree is 20 m away from the person, and the building is 51 m from the person.

What is the height of the building?

|a| =

What is the difference in heights of the building and the tree?

Answer provided by our tutors

the height of the building is


2 + 51*(tan(34)) = 36.4 m


the height of the tree is


2 + 20*(tan(34)) = 15.49 m


the difference in heights of the building and the tree is


36.4 - 15.49 = 20.91 m