Question

Henry is flying a kite. The kite makes an angle of 43 with the ground. If henry is standing 100 feet from a point on the ground directly below the kite, find the length of the kite string

Answer 1

x = 136.73 feet

Explanation:

Given that,

Henry is flying a kite. The kite makes an angle of 43 with the ground. If henry is standing 100 feet from a point on the ground directly below the kite.

We need to find the length of the kite string. It can be calculated by using trigonometry.

The length of the string will be hypotenuse, 100 feet is the base.

The relation between the hypotenuse, base and angle with the ground is given by :

`\cos\theta=\frac{\text{base}}{\text{Hypotenuse}}\\\\\cos(43)=(100)/(x)\\\\x=(100)/(\cos(43))\\\\x=136.73\ \text{feet}`

So, the length of the kite string is 136.73 feet.