Question

Solve the right angle trig problem.

Answer 1

x = 40.7057°

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

Trigonometry

• [Right Triangle Only] sin∅ = opposite over hypotenuse

Explanation:

Step 1: Define

We have a right triangle. We can use trig to find the angle.

Step 2: Identify Variables

Angle = x

Opposite = 15

Hypotenuse = 23

Step 3: Find Angle x

1. Substitute: sinx° = 15/23
2. Inverse: x° = sin⁻¹(15/23)
3. Evaluate: x = 40.7057°