Question

The measure of angle BAC can be calculated using the equation sine super negative 1 (StartFraction 3.1 Over 4.5 EndFraction) equals x. Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 4.5 inches and the length of C B is 3.1 inches. Angle C A B is x. What is the measure of angle BAC? Round to the nearest whole degree.

Answer 1

The hard part of this question is decoding the equation.

$\angle BAC = \arcsin\left( \dfrac{3.1}{4.5} \right)$

There's nothing to do but ask the calculator.

$\angle BAC = \arcsin\left( \dfrac{3.1}{4.5} \right) \approx 43.54^\circ$

Answer: 44°