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.​

Respuesta :

Answer:

height of the building = 36√3 m

Step-by-step explanation:

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Answer:

62.4 m

Step-by-step 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