A 35ft. ladder is leaning against a wall. The ladder and the wall form a 52 degree angle. How far is the baseof the ladder from the bottom of the wall?

area-of-the-triangle

#1

A 35ft. ladder is leaning against a wall. The ladder and the wall form a 52 degree angle. How far is the baseof the ladder from the bottom of the wall? Find the area of the triangle.

Answer:

The ladder is the hypotenuse of the right triangle created by the wall, floor, and ladder. Taking the sin of 52, which is equal to opposite(the length we are looking for) divided by the hypotenuse(35). Solving this gives us about 27.5 for the distance between the base and the wall.