Question

Alex props up a ladder against a wall. The ladder makes an angle of 23° from the ground. If the ladder is 10 feet long, what is the expression for finding the distance the foot of the ladder is from the wall?

A) 10 * cos(23°)
B) 10 * sin(23°)
C) 10 / cos(23°)
D) 10 / sin(23°)

Answer 1

The expression for finding the distance the foot of the ladder is from the wall is 10 * cos(23°). So the correct answer is A) 10 * cos(23°).

Step-by-step explanation:

The expression for finding the distance the foot of the ladder is from the wall is 10 * cos(23°).

To find this, we can use the cosine function, which relates the adjacent side of a right triangle to the hypotenuse. In this case, the ladder represents the hypotenuse and the distance from the foot of the ladder to the wall represents the adjacent side. Therefore, we multiply the length of the ladder (10 feet) by the cosine of the angle (23°).

So the correct answer is A) 10 * cos(23°).