Question

Find x. Round your answer to the nearest tenth of a degree

Answer 1

Answer:

$\displaystyle x \approx 53.1^\circ$

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] cosθ = adjacent over hypotenuse
• Inverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Adjacent Leg = 15

Hypotenuse = 25

Step 2: Solve for x

1. Substitute in variables [Cosine]:                                                                      $\displaystyle cosx^\circ = \frac{15}{25}$
2. Simplify:                                                                                                             $\displaystyle cosx^\circ = \frac{3}{5}$
3. Inverse Trig:                                                                                                      $\displaystyle x^\circ = cos^{-1}(\frac{3}{5})$
4. Evaluate:                                                                                                           $\displaystyle x = 53.1301^\circ$
5. Round:                                                                                                               $\displaystyle x \approx 53.1^\circ$