Question

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

Answer 1

x ≈ 77.8°

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] tan∅ = opposite over adjacent

Explanation:

Step 1: Define

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

Step 2: Identify Variables

From POV of x

Angle = x

Adjacent = 8

Opposite = 37

Step 3: Solve for x

1. Substitute: tanx° = 37/8
2. Inverse: x° = tan⁻¹(37/8)
3. Evaluate: x = 77.7995°
4. Round: x ≈ 77.8°