Destiny wants to calculate the angle of a ramp at a voting dock. She finds the cosine of this angle to be 0.974. What is the measure of the angle?

Answer 1

To find the measure of the angle whose cosine is 0.974, you can use the inverse cosine function (also known as arccosine).

Using a calculator or software that can compute inverse cosine, you would calculate:

\[ \theta = \cos^{-1}(0.974) \]

Using a calculator:

\[ \theta \approx 12.5^\circ \]

Thus, the measure of the angle at the ramp is approximately \( 12.5^\circ \).