Use the sine function to find length b of right triangle ABC given c = 17.4 ft and B = 23°. Round to four significant digits.
A)6.799 ft
B)44.53 ft
C)16.02 ft
D)18.90 ft

Question

Quizplus · Accepted Answer

In a right triangle, the sine of an angle is the opposite side over the hypotenuse. So, $\sin(B) = \frac{b}{c}$. Given $B = 23^\circ$ and $c = 17.4$ ft, we can solve for $b$: $b = c \cdot \sin(B) = 17.4 \cdot \sin(23^\circ) \approx 6.799$ ft.

Use the Sine Function to Find Length B of Right