A 50-foot ladder leans against a building. If the base of the ladder is 6 feet from the base of the building, what is the angle formed by the ladder and the building?

The angle between the building and the ladder 6.9°

Step-by-step explanation:

Given data

AB = 50 ft = length of the building

BC = 6 ft

= Angle between the ladder & building

From Δ ABC

6.9°

This is the angle between the building and the ladder.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

9x