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vaehcollier
08.04.2020 •
Mathematics
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.
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Ответ:
8.6 ft
Step-by-step 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
Ответ:
25 inch