Question

two vertical buildings are 42 metres apart and the shorter building is 135m high. The angle of elevation from the top of the shorter building to the top of the taller building is 60. Find the height of the taller building to the nearest metre.

Answer 1

Answer:

=110.4ft

Step-by-step explanation:

Let the difference in heights of the buildings be x ft

The buildings are 200 ft apart - all the way up from the ground to the top of the buildings.

Draw in a triangle joining the tops of the buildings and show the angle of depression as 7°

Le'ts find x:

x200=tan7

x=200×tan7

x=24.557 ft

This is the difference in the heights of the buildings.

Height of shorter building = 135−24.6ft

=110.4ft