Question

Solve the right angle trig problem.

Answer 1

x = 53.6588°

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 Triangles Only] SOHCAHTOA
• [Right Triangles Only] cos∅ = adjacent over hypotenuse

Explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing angle.

Step 2: Identify Variables

POV from angle x

Angle = x

Adjacent = 16

Hypotenuse = 27

Step 3: Solve for x

1. Substitute: cosx° = 16/27
2. Inverse: x° = cos⁻¹(16/27)
3. Evaluate: x = 53.6588°