Question

What is the value of y in the triangle?

Enter your answer in the box. Round your final answer to the nearest hundredth.

y =
ft

Answer 1

y ≈ 6.69 ft

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] sinθ = opposite over hypotenuse

Explanation:

Step 1: Identify

Angle θ = 26.5°

Opposite Leg = y

Hypotenuse = 15

Step 2: Solve for y

1. Substitute [Sine]: sin26.5° = y/15
2. Isolate y: 15sin26.5° = y
3. Rewrite: y = 15sin26.5°
4. Evaluate: y = 6.69297
5. Round: y ≈ 6.69