Use the sine function to find length c of a standard right triangle ABC given b = 498 miles and B = 43.7°. Round to four significant digits.
A)720.8 miles
B)688.9 miles
C)344.1 miles
D)21,760 miles

Question

Quizplus · Accepted Answer

Using the sine function in a right triangle, $\sin(B) = \frac{b}{c}$. Rearranging to solve for $c$, we get $c = \frac{b}{\sin(B)}$. Plugging in the given values, $c = \frac{498}{\sin(43.7°)}$, which calculates to approximately 720.8 miles.

Use the Sine Function to Find Length C of a Standard