Question

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. What is the measure of the angle formed by the ladder and the building? Enter your answer, rounded to the nearest degree, in the box. °

Answer 1

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°

Answer 2

Answer:

74

Step-by-step explanation:

tan?=7/2

tan^-1(7/2)=?

?=74