Question

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

Answer 1

Answer:

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

Step-by-step 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