Question

How much string is out if a kite is 100 feet above the ground and the string makes an angle of 65° with the ground? Draw a diagram and find the length of the string. 46.6 ft. 90.6 ft. 110.3 ft.

Answer 1

I believe its is 90.6 for plato if i remember correctly

Explanation:

Answer 2

The length of the string is 110.3 ft. Option 3 is correct.

Explanation:

Let the length of string be x.

It is given that the kite is 100 feet above the ground and the string makes an angle of 65° with the ground.

In a right angle triangle,

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

`\sin (65^(\circ))=(100)/(x)`

`x=(100)/(\sin (65^(\circ)))`

`x=110.3378\approx 110.3`

Therefore the length of the string is 110.3 ft. Option 3 is correct.