Question

Jake leaned a 12-foot ladder against his house. If the Angle formed by the ladder and the ground is 68, how far from the base of the house did he place the ladder?

Answer 1

Answer:

$4.50\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

$cos(A)=\frac{AC}{AB}$ -----> the cosine is the adjacent side to angle A divided by the hypotenuse

substitute the values and solve for x

$cos(68\°)=\frac{x}{12}$

$x=12*cos(68\°)=4.50\ ft$