Question

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

Answer 1

Answer:

Step-by-step explanation:

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

Hence distance between the target and building is 4 √ 3 m.

Answer 2

Step by Step Explanation:-⤵⤵

⏩height = 6m

angle of depression = 60°

let the distance between you and the

object will be "x"

sin60° = 6/x

√3/2= 6/x

x = 12/√3 *√3/√3 m

x = 4√3 m Answer

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