Question

What is the value of X?

Answer 1

Explanation:

we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

x² = 16.5² + 24² - 2(16.5 × 25)Cos22

x² = 272.25 + 576 - 2(396) × 0.927

x² = 848.25- 734.184

x² = 114.066

x = √114.066

x = 10.7 to the nearest tenth

Answer 2

The answer to your question is x = 10.7

Explanation:

Data

side 1 = a = 16.5

side 2 = b = 24

side 3 = c = x

angle C = 22°

Process

-To solve this problem, use the law of cosines

c² = a² + b² - 2abcosC

-Substitution

c² = 16.5² + 24² - 2(16.5)(24)cos (22)

-Simplification

c² = 272.25 + 576 - (792)(0.927)

c² = 848.25 - 734.33

c² = 113.92

-Result

c = 10.67