Geometry Homework

Question

You are flying a kite that has been released with 200 m of string. The string forms a angle of 30 degrees with the ground. How high is the kite flying ?

A. 120 m

B. 85 m

C. 100 m

D. 135 m

Answer 1

The ratio of the sides is a 30-60 right triangle is 2:1:√3.

Make a figure with that information and you will immediately see that the answer is 100 m.

P.S.

To derive the ratio I stated, start with n equilateral triangle with a side of 1.

Draw the altitude which splits the side in 1/2.

Then use the Pythagorean theorem to get the length of the altitude.