Question

Find the value of x. round to the nearest tenth. side length 16. angle 35. view picture below.​

Answer 1

Answer:

$\displaystyle x \approx 9.2$

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

• 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: Define

Angle θ = 35°

Opposite leg = x

Hypotenuse = 16

Step 2: Solve for x

1. Substitute in variables [Sine]:                                                                          $\displaystyle sin35^\circ = \frac{x}{16}$
2. [Multiplication Property of Equality] Isolate x:                                                $\displaystyle 16sin35^\circ = x$
3. Rewrite:                                                                                                             $\displaystyle x = 16sin35^\circ$
4. Evaluate trig:                                                                                                     $\displaystyle x = 16(0.573576)$
5. Multiply:                                                                                                             $\displaystyle x = 9.17722$
6. Round:                                                                                                               $\displaystyle x \approx 9.2$