Answer:
74.05 degree
Step-by-step explanation:
A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the building.
The ladder forms a right angle triangle with the building
Base of the triangle is 2 feet
The distance between the ground and the top of the ladder is 7 feet
the graph is attached below
AB= 2, AC = 7
We know the opposite and the adjacent side so we use tan formula
[tex]Tan (x) = \frac{opposite}{adjacent} =\frac{AC}{AB} = \frac{7}{2}[/tex]
x = tan^-1 (7/2)
x = 74.05 degree