Question

If your adjacent side is 12 and your opposite side is 3, what is the measure of the indicated angle to the nearest degree?

a) 76
b) 14
c) 30
d) 61

Answer 1

The measure of the indicated angle, given that the opposite side is 3 and the adjacent side is 12, is approximately 14 degrees, which is calculated using the arctan function.

Step-by-step explanation:

To find the measure of the indicated angle when adjacent side is 12 and the opposite side is 3, we can use the tangent function. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. Therefore, tan(angle) = opposite / adjacent = 3 / 12. Now we calculate the angle: angle = arctan(3/12). Using a calculator, we find that angle ≈ 14 degrees to the nearest degree. Thus, the correct answer is (b) 14 degrees.