Question

What is the measure of ∠F, to the nearest degree?
44°
57°
71°
78°

Answer 1

it is A-44 hope this helps

Answer 2

Option A. 44°

Explanation:

In a given triangle FGH sides have been given as FG = 7 yards, FH = 6 yards, and GH = 5 yards.

We have to calculate the approximate value of ∠F.

We apply the cosine rule in the given triangle.

5² = 7² + 6² - 2×7×6×cosF

25 = 49 + 36 - 84× cosF

25 = 85 - 84 cosF

84cosF = 85 - 25 = 60

`cosF=(60)/(84)=0.71428`

`F=cos^(-1)( 0.71428) = 44.4`

F = 44°

Therefore option A. 44° is the correct answer.