The bottom of a ladder sits on the ground 4 horizontal feet from a wall against which its top rests.The slope of the line made by the ladder is 3.37 feet per foot.What is the vertical height of the top of the ladder? (Assume that the positive direction points from the base of the ladder toward the wall.)
A) 8.14 feet
B) 13.48 feet
C) 7.37 feet
D) 14.01 feet

Question

The bottom of a ladder sits on the ground 4 horizontal feet from a wall against which its top rests.The slope of the line made by the ladder is 3.37 feet per foot.What is the vertical height of the top of the ladder? (Assume that the positive direction points from the base of the ladder toward the wall.) ​
A) 8.14 feet
B) 13.48 feet
C) 7.37 feet
D) 14.01 feet

Quizplus · Accepted Answer

The slope of the ladder is given as 3.37, which means for every foot you move horizontally, you move 3.37 feet vertically. Since the base of the ladder is 4 feet from the wall, you multiply the horizontal distance by the slope to find the vertical height: $4 \times 3.37 = 13.48$ feet.

The Bottom of a Ladder Sits on the Ground 4