Question

A 12-foot ladder is leaned against the side of a building. If the bottom of the ladder

rests 3 feet from the wall, determine the height at which the top of the ladder rests
on the wall. Let h represent the height. Show all the steps. Don’t forget the units!!!

Draw the diagram and label it. Solve:
Therefore statement:

Answer 1

11.6 ft

Explanation:

|\

| \

| \

| \

h | \ 12 ft

| \

| \

| \

| \

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3 ft

Use the Pythagorean theorem: a² + b² = c²

(3 ft)² + h² = (12 ft)²

9 ft² + h² = 144 ft²

h² = 135 ft²

h = √(135 ft²)

h = 11.6 ft