Question

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=63°, and EF = 19 feet. Find the length of GE to the nearest tenth of a foot.

Answer 1

8.6 ft

Explanation:

Using the attached sketch, the sum of angles in the triangle should be 180° hence the missing angle is 180-90-63=27°

Using trigonometry, we know that cosine of an angle is equal to adjacent over hypotenuse

Cos 63°=GE/EF

Making GE the subject of the formula then

GE=EFCos63°

Given EF as 19 ft then

GE=19cos 63=8.62581949505139 ft

Rounded off to the nearest tenth then GE=8.6 ft