Question

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

Answer 1

x ≈ 58.9

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

Geometry

• [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 side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 23°

Opposite Leg = 25

Adjacent Leg = x

Step 3: Solve for x

1. Substitution [tangent]: tan23° = 25/x
2. Multiply x on both sides: xtan23° = 25
3. Isolate x: x = 25/tan23°
4. Evaluate: x = 58.8963
5. Round: x ≈ 58.9