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In ΔFGH, f = 3.1 inches, g = 2 inches and h=3.2 inches. Find the measure of ∠F to the nearest 10th of a degree.

 Jun 10, 2022
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Using the Law of Cosines

 

3.1^2  =  2^2  + 3.2^2  - 2 (2)(3.2) cos F

 

[ 3.1^2 - 2^2 - 3.2^2 ] / [- 2 * 2 * 3.2 ]  = cos F

 

Using the cosine inverse

 

arccos ( [ 3.1^2 - 2^2 - 3.2^2 ] / [- 2 * 2 * 3.2 ] ) =  F  ≈  68.8°

 

 

cool cool cool

 Jun 10, 2022

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