Answer:
54°
Step-by-step explanation:
We are required to find the angle of elevation. We were given the distance between location of the woman and the floor of the building as well as the distance between the floor of the building to the fire truck.
the distance between location of the woman and the floor of the building = 67ft
the distance between the floor of the building to the fire truck = 47ft
Find attached the diagram obtained from the information.
We would apply tangent ratio, since we know the opposite(67ft) and the adjacent (48ft)
Tanθ = opposite/adjacent
Tanθ = 67/48
Tanθ = 1.3958
θ = arctan(1.3958)
θ = 54.38°
θ = 54° (nearest degree)
The angle of elevation, to the nearest degree, that the firefighter should
extend the ladder to reach the woman = 54°