Question

Solve the right angle trig problem. round to the nearest tenth.

Answer 1

x ≈ 36.9

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

• SOHCAHTOA
• [Right Triangles Only] sin∅ = opposite over hypotenuse

Explanation:

Step 1: Define

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

Step 2: Identify Variables

Angle = 31°

Opposite = 19

Hypotenuse = x

Step 3: Solve for x

1. Substitute: sin31° = 19/x
2. Multiply x on both sides: xsin31° = 19
3. Isolate x: x = 19/sin31°
4. Evaluate: x = 36.8905
5. Round: x ≈ 36.9