![\displaystyle x^\circ \approx 29.3](/tpl/images/2402/0395/4756d.png)
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 hypotenuseInverse Trig
Step-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 45
Hypotenuse = 92
Step 2: Solve for x
Substitute in variables [sine]:
![\displaystyle sin(x^\circ) = \frac{45}{92}](/tpl/images/2402/0395/67fb4.png)
Inverse Trig:
![\displaystyle x^\circ = sin^{-1}(\frac{45}{92})](/tpl/images/2402/0395/cd2ac.png)
Evaluate:
![\displaystyle x^\circ = 29.2834436](/tpl/images/2402/0395/adf0c.png)
Round:
![\displaystyle x^\circ \approx 29.3](/tpl/images/2402/0395/4756d.png)