Question

Raul is flying a kite at the end of a string that is 200 feet long. Raul is holding the string 5 feet off the ground at the angle to the horizontal of 25. How high is the kite off the ground?

Answer 1

Kite is 89.52 ft off the ground

Explanation:

We are told that the string is 200 ft long.

That the string is 5 ft off the ground at an angle of 25° to the horizontal.

I have drawn a triangle to depict this illustration with x being the height of the kite from the end of the string.

Also, I have depicted the ground level which is 5 ft below the end of the string.

From the triangle, we can calculate the height of the kite above the end of the string using pythagoras theorem.

x/200 = sin 25

x = 200 sin 25

x = 200 × 0.4226

x = 84.52 ft

Now, the bottom of the kite is 5 ft off the ground as depicted in the attachment.

Thus, height of kite above the ground = 84.52 + 5 = 89.52 ft