We can use the Pythagorean theorem to solve this problem. The ladder acts as the hypotenuse of a right triangle, with one leg being the distance from the ladder to the base of the lamp post (11 feet) and the other leg being the height of the lamp post (h).
Using the Pythagorean theorem, we have:
(11)^2 + h^2 = (61)^2
121 + h^2 = 3721
h^2 = 3721 - 121
h^2 = 3600
Taking the square root of both sides, we have:
h = √3600
h ≈ 60.0
Therefore, the height of the lamp post is 60 feet. None of the provided answer choices match this, so there seems to be an error in the question or answer choices.
A 61 feet ladder is placed 11 feet away from a lamp post. Find the height of the lamp post.
15 feet
14 feet
17 feet
23 feet
1 answer
1 answer