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wc math 20-2 / assess / m1l2 sine law
m1l2 sine law
question 4
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solve for the unknown side length. round your answer to one decimal place.
\\(\frac{q}{\sin 30^{\circ}}=\frac{10.0}{\sin 80^{\circ}}\\)
select one:
a. 0.5
b. 5.0
c. 20.3
d. 5.1

Explanation:

Step1: Cross - multiply

$q\times\sin80^{\circ}=10.0\times\sin30^{\circ}$

Step2: Solve for $q$

$q = \frac{10.0\times\sin30^{\circ}}{\sin80^{\circ}}$
Since $\sin30^{\circ}=0.5$ and $\sin80^{\circ}\approx0.9848$, then $q=\frac{10.0\times0.5}{0.9848}=\frac{5.0}{0.9848}\approx5.1$

Answer:

d. 5.1