Question

You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the ground. How tall is your house?

Answer 1

A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall