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

y ≈ 6.69 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = 26.5°

Opposite Leg = y

Hypotenuse = 15

Step 2: Solve for y

Substitute [Sine]:                    sin26.5° = y/15Isolate y:                                 15sin26.5° = yRewrite:                                   y = 15sin26.5°Evaluate:                                 y = 6.69297Round:                                     y ≈ 6.69