A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is
the ladder's angle of elevation?
1 answer:
Answer:
70.5°
Step-by-step explanation:
To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine
= cos θ = Adjacent/Hypotenuse
Where
Adjacent = Distance of the base from the house = 10ft
Hypotenuse = Length of the ladder = 30 ft
cos θ = 10/30
cos θ = 1/3
θ = arc cos 1/3
θ = 70.528779366
Approximately = 70.5°
Therefore, the ladder's angle of elevation is 70.5°
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