Question

the measure of angle bac can be calculated using the equation \\(\sin^{-1}\left(\frac{3.1}{4.5}\
ight) = x\\). what is the measure of angle bac? round to the nearest whole degree. options: 0°, 1°, 44°, 48° diagram: right triangle abc, right angle at c, bc=3.1 in, ab=4.5 in, angle at a is x. not drawn to scale.

Explanation:

Step1: Calculate the ratio 3.1/4.5

First, we find the value of $\frac{3.1}{4.5}$. Let's compute that: $\frac{3.1}{4.5} \approx 0.6889$.

Step2: Find the inverse sine of the ratio

Next, we calculate $\sin^{-1}(0.6889)$. Using a calculator (make sure it's in degree mode), we find that $\sin^{-1}(0.6889) \approx 43.5^\circ$, which rounds to $44^\circ$ when rounded to the nearest whole degree.

Answer:

44° (corresponding to the option "44°")