Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the group. The length of the ladder represents the hypotenuse of the triangle.
The foot of the ladder is 6 feet from the building. This represents the adjacent side of the triangle.
The ladder reaches a height of 14 feet on the building. This represents the opposite side of the triangle.
To determine the angle that the ladder makes with the house θ, we would apply the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan θ = 14/6 = 2.33
θ = Tan^- 1(2.33)
θ = 66.8