Distance, Relation?

Question

You're at the top of a 280ft building, a car is driving away from the building. From the car's position 1, the top of the building is 48 degrees from horizontal. From the car's second position, the top of the building is 26 degrees from horizontal. How far did the car travel from position one to position two?

Answer 1

Draw and label a diagram

A is the car's second position

B is the car's first position

C is the base of the building

D is the top of the building

 

tan 48° = 280 / BC

BC = 280 / tan 48°

 

tan 26° = 280 / AC

AC = 280 / tan 26°

 

AB = AC - AB

 

Can you solve?