Question

PQR is a right angled triangle calculate the size of angle marked x

Answer 1

Answer:

$\displaystyle x \approx 37.4^\circ$

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

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

1. Substitute in variables [Cosine]:                                                                    $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
2. [Fraction] Divide:                                                                                             $\displaystyle cosx^\circ = 0.794521$
3. [Equality Property] Trig inverse:                                                                    $\displaystyle x^\circ = cos^{-1}(0.794521)$
4. Evaluate trig inverse:                                                                                      $\displaystyle x = 37.39^\circ$
5. Round:                                                                                                             $\displaystyle x \approx 37.4^\circ$