Question

Find the angle measure indicated to the nearest tenth:

Answer 1

Answer:  48.2 degrees

Work Shown:

$\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\text{F}) = \frac{\text{EF}}{\text{FG}}\\\\\cos(\text{F}) = \frac{6}{9}\\\\\text{F} = \cos^{-1}\left(\frac{6}{9}\right)\\\\\text{F} \approx 48.189685\\\\\text{F} \approx 48.2$