Height- 45 feet. 5 feet above the ground. The angle of elevation is 45 degrees. What's the length of the rope?

Question

This is a hard question in which indeed I cannot answer, I would like some help from someone so I can see what I am doing wrong...

Answer 1

I'm interpreting the problem as finding the hypotenuse of a 45-45-90 degree triangle having a leg length of 45.5 feet.

Use the Pythagoras' Formula c² = a² + b².

In 45-45-90 degree triangles, a = b, so

c² = a² + a² = 2a²

Thus C² = 2(45.5)²

C = 45.5 * sqrt(2) = 64.3 feet.