Question

A 25 foot ladder is leaning against a house. It makes a 75 degree angle with the ground. How far is the base of the ladder from the house

Answer 1

Look at the picture.

$\cos 75^\circ =\frac{x}{25} \\ 25 \cos 75^\circ = x \\ 25 \times 0.2588 \approx x \\ x \approx 6.47$

The base of the ladder is 6.47 feet from the house.