Question

The equation  can be used to determine the measure of angle BAC. What is the degree measure of angle BAC? Round to the nearest whole degree. 19° 20° 70° 71°

Answer 1

Since the equation
`cos^(-1)((3.4)/(10) )` can be used to determine the measure of angle BAC, the degree measure of angle BAC is: C. 70°.

In order to determine the measure of the missing angle, we would have to apply the basic cosine trigonometric ratio because the given side lengths represent the adjacent side (AC = 3.4) and hypotenuse of a right-angled triangle (AB = 10);

cos(θ) = Adj/Hyp

Where:

• Adj represent the adjacent side of a right-angled triangle.
• Hyp represent the hypotenuse of a right-angled triangle.
• θ represent the angle.

Based on the cosine trigonometric ratio, we have the following:

`\angle BAC = cos^(-1)((3.4)/(10) )\\\\\angle BAC = cos^(-1)(0.34)`

Angle BAC = 70.1231 ≈ 70°

Complete Question:

The equation
`cos^(-1)((3.4)/(10) )` can be used to determine the measure of angle BAC. What is the degree measure of angle BAC? Round to the nearest whole degree. 19° 20° 70° 71°