Question

From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building

Answer 1

First we find the distance between the two buildings =

Explanation:

`(80)/( \tan(65) ) = 37.3 ft`

then the upper part of the taller building =

`37.3 * \tan(59) = 62 \: ft`

Now the total height of the taller building

`80 + 62 = 142 \: ft`