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.
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
1 answer
1 answer