Question

The angles of elevation of an office building as observed from the top and ground level of a 10 meters tall residential building are 68° and 72°
respectively. How tall is the office building? How far apart are the two buildings?

Answer 1

make a sketch
label the top of the taller building A and its bottom as B
label the top of the residential building as C, and draw a horizontal line to hit AB at P
So now you have two right-angled triangles
notice that BP = 10

in the bottom triangle,
tan 72 = 10/CP
CP = 10/tan72° ----> the distance between the two buildings

in the top triangle:
tan 68 = AP/CP
AP = CPtan68

height of building = 10 + AP

I will let you do the button-pushing

Answer 2

3.25 and 18.04

Answer 3

215