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

Answer:

I believe its is 90.6 for plato if i remember correctly

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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,

$\sin \theta=\frac{perpendicular}{hypotenuse}$

$\sin (65^{\circ})=\frac{100}{x}$

$x=\frac{100}{\sin (65^{\circ})}$

$x=110.3378\approx 110.3$

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