Question

the measure of angle bac can be calculated using the equation \\( \sin ^{-1}(\frac{3.1}{4.5}) = x \\). what is the measure of angle bac? round to the nearest whole degree. 0° 1° 44° 48°

Explanation:

Step1: Calculate the value of \(\frac{3.1}{4.5}\)

\(\frac{3.1}{4.5}\approx0.6889\)

Step2: Find the inverse - sine of the result

\(x = \sin^{-1}(0.6889)\)
Using a calculator, \(\sin^{-1}(0.6889)\approx43.5^{\circ}\approx44^{\circ}\)

Answer:

\(44^{\circ}\) (corresponding to the third option)