In ΔEFG, the measure of ∠G=90°, GE = 32 feet, and EF = 41 feet. Find the measure of ∠E to the nearest tenth of a degree.

m∠E = 38.7°

Step-by-step explanation:

If you make a drawing it will help.  What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.

The cosine of a angle = adjacent side/hypotenuse.

Therefore cos E = 32/41

arccos (32/41) = 38.7°

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