Question

Samuel places a ladder against his house. The base of the ladder is 6 feet from

the house and the ladder is 10 feet long. How high above the ground does the ladder
touch the wall of the house?

Answer 1

The ladder touches the wall of the house at a height of 8 feet above the ground.

Step-by-step explanation:

The ladder forms a right triangle with the wall and the ground. We can use the Pythagorean theorem to find the height of the ladder. The base of the ladder is 6 feet and the ladder itself is 10 feet long, so the height of the ladder can be calculated as follows:

Height of ladder = square root of (length of ladder squared - base of ladder squared)

Height of ladder = square root of (10 squared - 6 squared)

Height of ladder = square root of (100 - 36)

Height of ladder = square root of 64

Height of ladder = 8 feet

Therefore, the ladder touches the wall of the house at a height of 8 feet above the ground.

Answer 2

Answer: 60 ft

Step-by-step explanation: If you multiply 6 x 10 = 60 and there both in feet so the answer whould be 60ft