A) 30°Suppose you are shooting an arrow from the top of a building at

1.	A) 30°Suppose you are shooting an arrow from the top of a building at ato a target on the ground at an angle of depressions of 60 , Then the distancebetween you and the objec.A) 23 mn height of 6 mB) 33mC) 4 3 mD) 5 3m
Answer» 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 SinФ = 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.

A) 30°Suppose you are shooting an arrow from the top of a building at ato a target on the ground at an angle of depressions of 60 , Then the distancebetween you and the objec.A) 23 mn height of 6 mB) 33mC) 4 3 mD) 5 3m

Answer»

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 SinФ = 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.