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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Trigonometry

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Exercise 29 Page 656

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

28.7

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 opposite the given angle, and the side we want to find is adjacent to the given angle. Therefore, we will use the tangent ratio. tan θ = Length of leg opposite toθ/Length of leg adjacent toθ In our triangle, we have that θ =49^(∘) and the length of the opposite leg is 33. We want to find the length of the leg adjacent to the angle.

tan θ = opposite/adjacent

SubstituteValues

Substitute values

tan 49^(∘) = 33/x

▼

Solve for x

LHS * x=RHS* x

tan 49^(∘) * x = 33

.LHS /tan 49^(∘).=.RHS /tan 49^(∘).

x = 33/tan 49^(∘)

Use a calculator

x=28.68646...

Round to 1 decimal place(s)

x≈ 28.7

Subchapter links

Exercises p.655-659