McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
2. Surface Areas of Prisms and Cylinders
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Exercise 55 Page 821

Determine the trigonometric ratio to use according to the given information and the unknown.

x≈ 42.3

Practice makes perfect

We are given the length of one leg and the measure of an acute angle of a right triangle. We want to find the length of the other leg.

Note that the given side is the hypotenuse and the side we want to find is adjacent to the given angle. Therefore, we will use the cosine ratio. cos θ = adjacent/hypotenuse In our triangle, we have that θ = 16^(∘), the hypotenuse is 44, and that the adjacent side to θ is x. Let's substitute this information into the above formula, and solve for x.
cos θ = adjacent/hypotenuse
cos 16^(∘) = x/44
Solve for x
cos 16^(∘) (44) = x
x = cos 16^(∘)(44)
x=42.295514...
x≈ 42.3