Solve. Round to the nearest tenth.
-A 12-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. How high up the house does the ladder reach? If necessary, round to the nearest tenth foot.
A)11.3 ft
B)11.8 ft
C)12.6 ft
D)8 ft

Question

Solve. Round to the nearest tenth.
-A 12-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. How high up the house does the ladder reach? If necessary, round to the nearest tenth foot. 
A)11.3 ft 
B)11.8 ft 
C)12.6 ft 
D)8 ft

Quizplus · Accepted Answer

This problem involves finding the length of the ladder, which is the hypotenuse of a right triangle. Using the Pythagorean Theorem, we have:

ladder^2 = 12^2 + 4^2
ladder^2 = 144 + 16
ladder^2 = 160
ladder ≈ 12.65

Rounding to the nearest tenth, we get the ladder reaches approximately 11.3 feet up the house. Therefore, the best choice is A. Using the Pythagorean theorem, we can find the height of the ladder:
h^2 = 12^2 - 4^2
h^2 = 144 - 16
h^2 = 128
h ≈ 11.3
Therefore, the ladder reaches a height of approximately 11.3 feet up the house. Rounded to the nearest tenth, the answer is A) 11.3 ft.

Solve. Round to the Nearest Tenth