Question

From the top of a house, the angle of depression of a point on the ground is 18.5°. The point is 43 meters from the base of the building. How high is the building?

Answer 1

Answer:

angle of depression= 18.5°

distance from the base of the building= 43 m

in 18.5°+90°+x°= 180°

x= 180-(18.5°+90°)= 180-108.5=71.5°

tan71.5°=2.98868( from table)

tan71.5= height of the building/distance from the base

height of th building= tan71.5°x43= 2.98868x43=128.51 mt