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A 16 ft ladder leans against the side of a house. The bottom of the ladder is 7 ft away from the side of the house. Find x , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

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By using trigonometric relations, we will see that the angle of elevation is 64.1°

How to get the angle of elevation?

We can think of this as in a right triangle, where the hypotenuse measures 16ft, and the adjacent cathetus (to the angle we want to get) measures 7ft.

Then we can use the relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing what we know we get:

cos(a) = 7ft/16ft

Now if we apply the inverse cosine function to both sides, we get:

Acos(cos(a)) = Acos(7/16)

a = Acos(7/16) = 64.1°

So we conclude that the elevation angle of the ladder is 64.1°

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

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