ljr393306 ljr393306
  • 22-06-2022
  • Mathematics
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In ΔFGH, FH = 9 ft, FG = 11 ft, and m∠F = 65°. Find m∠G. Round your answer to the nearest tenth.

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ayoushivt ayoushivt
  • 24-06-2022

The value of m∠G = 48.6° .

What is a Triangle ?

A triangle is a polygon with three sides , angles and vertices.

It is given that

In ΔFGH, FH = 9 ft, FG = 11 ft, and m∠F = 65°

m∠G = ?

well, using the law of cosines,

GH ² = 9² + 11² - 2(9)(11) cos65°

f = 10.88 ft

now, using the law of sines,

sinG/9 = sin65°/10.88

m∠G = 48.6°

Therefore the value of m∠G = 48.6° .

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