Question

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

Explanation:

Step1: Calculate the fraction inside arcsin

First, compute $\frac{3.1}{4.5}$.
$\frac{3.1}{4.5} \approx 0.6889$

Step2: Find the arcsin of the result

Now, calculate $\sin^{-1}(0.6889)$. Using a calculator (in degree mode), $\sin^{-1}(0.6889) \approx 43.5^\circ$, which rounds to $44^\circ$.

Answer:

44° (corresponding to the option: 44°)