Question

Use the Law of Cosines to find the measure of ∠F. Round to the nearest degree.

f = 5, g = 6, h = 7

Use: f² = g² + h² – 2gh cos F

Answer 1

Solution given.

f = 5, g = 6, h = 7

<F=?

we have;

f² = g² + h² – 2gh cos F

5²-6²-7²=-2×6×7 cos F

-60/-84=cos F

F=cos-¹(5/7)=44.41°

<F=44.4° is a required answer