Question

Solve the triangle for x.

(View the attachment)

A. 39.4(degrees)
B. 46.5(degrees)
C. 94.1(degrees)
D. 105.9(degrees)

Answer 1

Option C

Explanation:

By applying cosine rule in the given triangle,

BC² = AB² + AC² - 2(AB)(AC)cosA

(11)² = 8² + 7² - 2(8)(7)cosx

121 = 64 + 49 - 112cos(x)

cos(x) = -
`(8)/(112)`

x =
`\text{cos}^(-1)(-(1)/(14))`

x = 94.1°

Therefore, Option C will be the correct option.