From a point 100 m from a building the angles of elevation of the top and bottom of a flagpole atop a building are 54.5 degrees and 51.8 degrees, respectively. How tall is the flagpole?

Answer 1

Draw a right angle triangle and the base is 100m

The height is divided into 2 parts: from the ground to the top of the building (let's say x) and from the top of the building to the top of the flagpole (let's say x + y)

So,

tan 54.5 = (x + y)/100

tan 51.8 = x/100

First, solve for x, then solve for y