Question

Find X.

Round to the nearest tenth.
Z
90 ft
55 ft
Х
50 ft
Y
X= [?]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C

Answer 1

Explanation:

y=32.7

Answer 2

x = 118 degrees approximately

Explanation:

Here, we want to get the measure of the angle marked x

We shall use the side facing it and apply the cosine rule

The side facing the angle measures 90

Thus, we have it that;

90^2 = 55^2 + 50^2 - 2(50)(55) cos X

2575 = - -5,500 cos X

X = cos^-1(-2575/5,500)

X = 118 degrees approximately