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3 years ago

8

Find the length of the unknown side x

1 answer:

sergeinik [125]3 years ago

8 0

Answer:

37.0469 cm

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Identify</u>

Angle θ = 39°

Opposite Leg = 30

Adjacent Leg = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute in variables [tangent]: $\displaystyle tan39^\circ = \frac{30}{x}$
Cross-multiply: $\displaystyle x = \frac{30}{tan39^\circ}$
Evaluate: $\displaystyle x = 37.0469$

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