Question

The angle of depression at a point on the ground from the top of a building is 60°. If the point is 36m far from the foot of the building, find the height of the building.​

Answer 1

62.4 m

Explanation:

|\----------------------------------------

| \ 60°

| \

h | \

| \

| 60° \

--------------------- A

36 m

Point A is 36 m from the foot of the building. The angle of depression above is 60°. m<A = 60°.

tan A = opp/adj

tan 60° = h/(36 m)

h = 36 * tan 60° m

h = 62.4 m

Answer: 62.4 m

Answer 2

height of the building = 36√3 m

Explanation: