CPM Homework Help : CCA2 Problem 1-60

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1-60.

For each diagram below, write and solve an equation to find the value of each variable. Give your answer to part (d) in both radical and decimal form. For a reminder of the trigonometry ratios, refer to the Math Notes box for this lesson.

Hint (a):
Step 1(a):
$\text{sin}\,\theta=\frac{\text{opposite side}}{\text{hypotenuse}}$
Step 2(a):
$\text{sin}(15^\circ)=\frac{\textit{x}}{20}$
Step 3(a):
$20\text{sin}(15^\circ)=20\left(\frac{x}{20}\right)\ \ \ \ \ \ 20\text{sin}(15^\circ)=x$
Step 4(a):
Use your calculator to compute $x$ . Does your answer seem reasonable? If not, verify that your calculator is in degree mode.

Hint (b):
$\text{tan}\,\theta=\frac{\text{opposite side}}{\text{adjacent side}}$
More Help (b):
Follow the steps in part (a).

Hint (c):
$\text{cos}\,\theta=\frac{\text{adjacent side}}{\text{hypotenuse}}$
More Help (c):
How can you "undo" cosine?
Answer (c):
$\theta=\text{cos}^{-1}\left(\frac{10}{11}\right)\ \ \ \ \theta=24.6^\circ$

Hint (d):
An angle is not marked, just three sides. What formula uses three sides of a right triangle?
More Help (d):
Pythagorean Theorem

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