Geometry word problem, i need help!!!

Question

A kite needs to be flown at a height 45 feet in the air. The kite's string will be attached to a pole, at a point 5 feet above the ground. The angle of elevation from the point where the string is attached to the kite is 45° .

 

What is the length of the rope that will hold the kite at the correct height?

 

The length of the rope is approximately __________ feet.

Answer 1

Make a drawing... looks like a right triangle with two 45 degree angles.  I think I remember that if the angles are equal, so are their sides...

 

therefore, 45 minus 5 (because the string is attached 5 ft above the ground = 40

 

So, 40^2 + 40^2 = x^2

 

1600 + 1600 = x^2

 

3200 = x^2

 

x = 56.57, or x = 40√2