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

Accepted Solution

Answer:y ≈ 6.69 ftGeneral Formulas and Concepts:Pre-AlgebraOrder of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right Equality PropertiesTrigonometry[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:Step 1: IdentifyAngle θ = 26.5°Opposite Leg = yHypotenuse = 15Step 2: Solve for ySubstitute [Sine]:                    sin26.5° = y/15Isolate y:                                 15sin26.5° = yRewrite:                                   y = 15sin26.5°Evaluate:                                 y = 6.69297Round:                                     y ≈ 6.69