Question

Suppose you are shooting an arrow from the top of a building at an height of 6 m to a target on the ground at an angle of depression of 60º. What is the distance between you and the object?

ineed this with step by step with diagram

Answer 1

Answer:

Step-by-step explanation:

Refer to the attachment for the diagram.

Let AB be the building you are standing. So AB = 6 m

And let  Angle of Depression = ∠ C.

=> ∠ C = 60°

To find The distance between you and the object.

So According to the Diagram, the distance between you and the object is AC, which is the hypotenuse.

So Sin Ф = Opposite / Hypotenuse

Sin 60° = 6 m / Hypotenuse

=> √ 3 / 2 = 6 / Hypotenuse

=> Hypotenuse = 6 * 2 / √ 3

=> Hypotenuse = 12 / √ 3 

=> Hypotenuse = 12 √ 3  / 3

=> Hypotenuse = 4 √ 3 m