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

Answer 1

To find the angle whose cosine is 0.974, Destiny can use the inverse cosine function (also known as arccos). The calculation involves finding the angle \(\theta\) such that:

\[ \cos(\theta) = 0.974 \]

Using the inverse cosine function:

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

Using a calculator to find this value:

\[ \theta \approx 12.2^\circ \]

Therefore, the measure of the angle of the ramp is approximately \(12.2^\circ\).