A kite flying at the end of a taut string 500ft long. If the kite is directly above a point 400ft from the end of the string how high is the

We can use the Pythagorean Theorem for this.....the hypotenuse = 500 and one leg = 400

So.....the height - h - is given by

h = √[500^2 - 400^2 ] = 300 ft

Thank you for that is that the correct answer for the problem?

Yep.....it's just a 3-4-5 Pythagorean "Triple" triangle "scaled" up by a factor of 100

It's correct....!!!