Destiny wants to calculate the angle of a ramp at a loading dock. She finds the cosine of the angle to 0.906. What is the measure of this angle?

Answer 1

To find the angle whose cosine is 0.906, Destiny can use the inverse cosine function, typically denoted as \(\cos^{-1}\) or \(\arccos\).

Using a calculator, she can compute:

\[ \theta = \cos^{-1}(0.906) \]

Calculating this gives:

\[ \theta \approx 25.8^\circ \]

Therefore, the measure of the angle of the ramp is approximately 25.8 degrees.