Question

Calculate value of x
A=24.9
B=19.1
C=10.3
D=12.3

Answer 1

C. 10.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Trigonometry

• [Right Triangle Only] cos∅ = adjacent over hypotenuse

Explanation:

Step 1: Define

We are given a right triangle. We can use Trig Rations to solve for the missing side

Step 2: Identify Variables

Adjacent leg = x

Hypotenuse = 16

Angle ∅ = 50°

Step 3: Solve for x

1. Set up equation: cos50° = x/16
2. Isolate x: 16cos50° = x
3. Evaluate: 10.2846 = x
4. Rewrite: x = 10.2846