Answer: the height of the ladder on the wall is 10.4 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine how high on the wall is the ladder h, we would apply we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 50 = h/8.7
h = 8.7Tan50 = 8.7 × 1.1918
h = 10.4
