Mathematics

The angle of depression of a point on the ground from the top of a…

The angle of depression of a point on the ground from the top of a building is 20.3o. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place
  • A.
    37.5m
  • B.
    28.1m
  • C.
    27.8m
  • D.
    14.8m
  • E.
    13.9m
Correct Answer: Option D
Explanation

Tan 69.7 = 40/h

h =

40/tan 69.7

=

40/2.703

h = 14.79 = 14.8