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3 years ago

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=20°, and GE = 75 feet. Find the length of EF to the nearest tenth of a foot.

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

Answer:80 feet

Step-by-step explanation:

Sum of < in a triangle is 180°

<G + <E + <F=180°

90 + 20 + < F = 110

< F = 70°

Using sine rule

sin G\EF = sin F\EG

sin90°\EF = sin70°\75

EF = 75sin90°\sin70°

= 79.81

=80 to the nearest tenth feet.

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