CPM Homework Help : PC Problem 1-30

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1-30.

Solve for $x$ in each triangle below.

Reference:

$\sin(\alpha) = \frac{\text{opposite}}{\text{hypotenuse}}$

$\cos(\alpha) = \frac{\text{adjacent}}{\text{hypotenuse}}$

$\tan(\alpha) = \frac{\text{opposite}}{\text{adjacent}}$

Hint (a):
Label the marked sides as opposite, adjacent, or hypotenuse.
More Help (a):
Write an equation involving the trigonometric ratio that corresponds to the given sides and angle.
Answer (a):
$\operatorname { cos } ( 26 ^ { \circ } ) = \frac { x } { 18 }$
Solve for $x$ . (Use your calculator.)

Hint (b):
Follow the same steps in part (a).

Hint (c):
What famous mathematician's theorem can help you with this problem?
More Help (c):
Pythagorean Theorem
Answer (c):
$x\approx19.596$

Hint (d):
Follow the same steps in part (a). Note that this time $x$ is the opposite side instead of the adjacent side.

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