Kurt leans a 20-ft long ladder against the side of his house. The ladder reaches to a height of 18.9 feet up the side of the house. What is the angle of elevation of the ladder to the nearest tenth of a degree?

Respuesta :

Answer:

70.9°

Step-by-step explanation:

Hypotenuse = 20

Leg = 18.9

We will need to use Sin to find the angle since the given leg is opposite of the angle of elevation.

[tex]sin^{-1} ( \frac{Leg}{Hypotenuse} )[/tex]

[tex]sin^{-1} ( \frac{18.9}{20} ) = 70.9[/tex]