Question

Find the value of X PLEASE

Answer 1

Answer:

x ≈ 18

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Trigonometry

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

• a is a side length
• b is a side length
• c is a side length
• A is an angle corresponding with side a

Step-by-step explanation:

Step 1: Define

a = x

A = 30°

b = 16

c = 30

Step 2: Solve for x

1. Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°
2. Exponents:                   x² = 256 + 900 -2(16)(30)cos30°
3. Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)
4. Multiply:                        x² = 256 + 900 - 480√3
5. Add:                              x² = 1156 - 480√3
6. Subtract:                       x² = 324.616
7. Isolate x:                       x = √324.616
8. Evaluate:                       x = 18.0171
9. Round:                          x ≈ 18