Question

A kite string is 220 feet in length. It makes a 45 angle with the ground. How high is the kite off of the ground?

Answer 1

The height of the kite off the ground is 155.562 feet

Explanation:

Given

`Length = 220ft`

`Angle = 45 \deg`

Required

Determine the height the kite is from the ground

This question is best explained with the following attachment

From the attachment, we have that the illustration of the question forms a right angled triangle triangle and required to solve for h

The relationship between h, 220 and 45 degrees is:

`Sin\ \theta = (Opposite)/(Hypothenuse)`

Where

`\theta = 45 \deg`

`Opposite = h`

`Hypothenuse = 220`

So, we have:

`Sin\ 45 = (h)/(220)`

Multiply both sides by 220

`h = 220 * sin\ 45`

`h = 220 * 0.7071`

`h = 155.562`

Hence, the height of the kite off the ground is 155.562 feet