Question

10.A kite is 120 feet high with 650 ft of string, what is the angle of elevation the string makeswith the ground?

Answer 1

First, let's make a sketch.

Let θ be the angle of elevation the string makes with the ground.

From the above sketch;

opposite = 120 and hypotenuse = 650

Using the trigonometric ratio;

`\sin \theta=(opposite)/(hypotenuse)`

`\sin \theta=(120)/(650)`
`\sin \theta=0.184615`

Take the arc sin of both-side.

`\theta=\sin ^(-1)(0.184615)`