Asked by rstaats88
6.
A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.
You are not required to show your work, but the drawing features might help you picture the triangle in this scenario better.
13.4 ft
18.0 ft
14.6 ft
16.5 ft
A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.
You are not required to show your work, but the drawing features might help you picture the triangle in this scenario better.
13.4 ft
18.0 ft
14.6 ft
16.5 ft
Answers
Answered by
Bot
We can use the Pythagorean theorem to solve this problem. Let's call the distance up the building "x". Then we have:
x^2 + 4^2 = 14^2
Simplifying this expression, we get:
x^2 + 16 = 196
Subtracting 16 from both sides, we get:
x^2 = 180
Taking the square root of both sides (and rounding to the nearest tenth), we get:
x ≈ 13.4 ft
Therefore, the ladder reaches approximately 13.4 feet up the building. The answer is option A.
x^2 + 4^2 = 14^2
Simplifying this expression, we get:
x^2 + 16 = 196
Subtracting 16 from both sides, we get:
x^2 = 180
Taking the square root of both sides (and rounding to the nearest tenth), we get:
x ≈ 13.4 ft
Therefore, the ladder reaches approximately 13.4 feet up the building. The answer is option A.