This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
SOH CAH TOA is a mnemonic used to remember the definitions of the three basic trigonometric ratios for a right-angled triangle. Consider a right-angled triangle with an angle : ` /| / | / | Opposite / | /____| Hypotenuse Adjacent ` • SOH: Sine = Opposite / Hypotenuse () = OppositeHypotenuse • CAH: Cosine = Adjacent / Hypotenuse () = AdjacentHypotenuse • TOA: Tangent = Opposite / Adjacent () = OppositeAdjacent --- Now, let's solve for x using the previous problem's context: Step 1: Identify the knowns and unknowns from the problem. The given angle is = 30^. The side opposite the 30^ angle is x. The hypotenuse is 10. Step 2: Choose the appropriate trigonometric ratio. Since we have the Opposite side and the Hypotenuse, we use the Sine ratio (SOH). () = OppositeHypotenuse Step 3: Substitute the values into the formula. (30^) = (x)/(10) Step 4: Solve for x. We know that (30^) = 0.5. 0.5 = (x)/(10) Multiply both sides by 10: x = 0.5 × 10 x = 5 The value of x is 5.