Question

A 12-ft ladder leans against the side of a house the bottom of the ladder is 7 ft from the side of the house how high is the top of the ladder from the ground? Round to the nearest tenth

Answer 1

Explanation:

Use Pythagorean Theorem

a² + b² = c²

7² + b² = 12²

49 + b² =144

49 - 49 + b² = 144 -49

b² = 95

√b² = √95

b = 9.74

round to 9.7

Answer 2

Answer: h= 9.74 feet

Explanation:

To find the height of the top of the ladder from the ground, we can use the Pythagorean theorem. Let's call the height of the top of the ladder "h".h^2 = 12^2 - 7^2h^2 = 144 - 49h^2 = 95h = sqrt(95)h ≈ 9.74 ftRounding to the nearest tenth, the height of the top of the ladder from the ground is 9.7 ft.