Math, asked by HPMakers30, 1 year ago

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

Answers

Answered by Steph0303
113
Hey mate !!

Here's the 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 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.

Hope my answer helped !!

Cheers !!
Attachments:

HPMakers30: thnx so much bro
Steph0303: Pleasure ^_^
HPMakers30: can u answer this question
Steph0303: Which question
HPMakers30: wait ill tell
Steph0303: Ok
HPMakers30: you want to erect A pole of height 10 metres with support of a rope.the rope has to make an angle 30 degree with the pole what should be the length of the pole ?
Answered by gaddamananda573
12

height of building =6m

hypotenuse(distance b/w you and the object)=?

angle of depression=60°

sin60=heigh of building÷distance b/w you and object

root 3÷2=6÷x

root3×x=12

x=12÷root3

x=4root3

.

. .distance between you and object is 4 root 3 meters

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