CPM Homework Help : CCG Problem 9-109

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Home > CCG > Chapter 9 > Lesson 9.2.4 > Problem 9-109

9-109.

Multiple Choice: Solve this problem without a calculator: examine the triangle below. Find the approximate value of $x$ . Use the values in the trigonometric table below as needed.

A right triangle has a base of, X, and hypotenuse of, 10. A 62 degree angle is opposite the side, X.

$θ$

$\cosθ$

$\sinθ$

$\tanθ$

$28°$

$0.883$

$0.469$

$0.532$

$62°$

$0.469$

$0.883$

$1.881$

$4.69$

$5.32$

$8.83$

$18.81$

None of these

Answer:

(c) because $\sin\left(62^{\circ}\right)=\frac{x}{10}$ , so $0.883=\frac{x}{10}$ . Isolate $x$ , so $x\approx8.83$ .

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