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?

Respuesta :

Answer:

The angle between the building and the ladder [tex]\theta =[/tex] 6.9°

Step-by-step explanation:

Given data

AB = 50 ft = length of the building

BC = 6 ft

[tex]\theta[/tex] = Angle between the ladder & building

From Δ ABC

[tex]\sin \theta = \frac{BC}{AB}[/tex]

[tex]\sin \theta= \frac{6}{50}[/tex]

[tex]\theta =[/tex] 6.9°

This is the angle between the building and the ladder.

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