Use the Law of Cosines to find the missing angle. In FGH, g = 14 ft, h = 22 ft, and m<F=55deg. Find the measure of f.
1 answer:
see the attached figure to better understand the problem
we know that
Applying the law of cosines
f²=g²+h²-2*g*h*cos F
in this problem
g=14 ft
h=22 ft
F=55°
f²=14²+22²-2*14*22*cos 55--------> f²=326.68-------> f=18.07 ft
the answer is
the measure of f rounded to the nearest tenth is 18.1 ft
the measure of f rounded to the nearest hundredth is 18.07 ft
the measure of f rounded to the nearest foot is 18 ft
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Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128
AB // CD and AC is transversal.
{Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101
