Question

The bottom of a ladder must be placed 4 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? Estimate your answer to the nearest tenth.

Answer 1

Height of wall (Perpendicular) = 11.31 ft (Approx)

Step-by-step explanation:

Given:

Base Distance (Base) = 4 feet

Height of ladder (Hypotenuse) = 12 feet

Find:

Height of wall (Perpendicular)

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of wall (Perpendicular) = √12² - 4²

Height of wall (Perpendicular) = √144 - 16

Height of wall (Perpendicular) = √128

Height of wall (Perpendicular) = 11.31 ft (Approx)