Question

What is the value of x? Round to the nearest tenth(1 decimal place)​

Answer 1

x ≈ 15.0 ft

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Trigonometry

• tan∅ = opposite over adjacent

Explanation:

Step 1: Define

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

Step 2: Find x

1. Substitute: tan28° = 8/x
2. Multiply x on both sides: xtan28° = 8
3. Divide tan28° on both sides: x = 8/tan28°
4. Evaluate: x = 15.0458
5. Round: x ≈ 15.0 ft