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3 years ago

PLEASEE SOMEONE HELP ME ON THIS ITS TODAY IN A COUPLE HOURS!!!

Mathematics

1 answer:

yarga [219]3 years ago

8 0

Answer:

$\displaystyle y = 2.90717$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

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

Step-by-step explanation:

Step 1: Identify

Angle θ = 20°

Opposite Leg = y

Hypotenuse = 8.5

Step 2: Solve for y

Substitute in variables [sine]: $\displaystyle sin20^\circ = \frac{y}{8.5}$
[Multiplication Property of Equality] Multiply 8.5 on both sides: $\displaystyle 8.5sin20^\circ = y$
Evaluate: $\displaystyle 2.90717 = y$
Rewrite: $\displaystyle y = 2.90717$

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