A ladder rests against a wall the top of the ladder reaches 15 feet up the wall and makes an angle of 53 with the wall how long is the ladder?

If the wall is straight and the ground level then this is an outline of a right angle-triangle. If the top of the ladder makes an angle of 530 with the wall then the bottom of the ladder must make 370 to the ground.

Use the sine ratio to find the length of the ladder (which will be the hypotenuse)

sin = opp/hyp rearranged to hyp = opp/sin

hyp = 15/sin370 = 24.92460212 feet

So the length of the ladder is 25 feet correct to the nearest foot.