Respuesta :

Answer:

68°

Step-by-step explanation:

The situation can be represented by a right triangle with the ladder as the hypotenuse and θ as the angle between the ladder and the ground.

Using the cosine ratio in the right triangle

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{8}[/tex] , then

θ = [tex]cos^{-1}[/tex] ( [tex]\frac{3}{8}[/tex] ) ≈ 68° ( to the nearest degree )

s1m1

Answer:

θ = 68°

Step-by-step explanation:

The side 3 is adjacent to the angle we need to find , and we know the hypothenuse so will use the cosθ function

cos θ = adj/ hyp = 3/8

To find the angle we need to apply the inverse function cos ^(-1) and use the calculator to solve it.

θ = cos ^(-1)  (3/8) = 67.97

Round to the nearest degree and will have

θ = 68°

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