Answer:
16°
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 measured angle formed by the ladder and building can be computed below.
The illustration forms a right angle triangle. Two sides are given and we are told to find an angle
Distance form the foot of the ladder to the building = 2 feet
The ladder reaches a point in the building which is the height of the building the ladder head started from = 7 feet
Using SOHCAHTOA principle
tan ∅ = opposite /adjacent
where
opposite = 2 ft
adjacent = 7 ft
∅ = angle formed by the ladder and the building
tan ∅ = 2/7
∅ = tan⁻¹ 2/7
∅ = 15.9453959
∅ ≈ 16°
