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
Let's find the value of x in the given right-angled triangle. Step 1: Identify the knowns and unknowns. We have a right-angled triangle. • The angle given is 70^. • The side opposite to the 70^ angle is 20. • The hypotenuse (the side opposite the right angle) is labeled 'x'. Step 2: Choose the appropriate trigonometric ratio. Since we know the side opposite the given angle and we want to find the hypotenuse, we use the sine function: () = oppositehypotenuse Step 3: Substitute the values into the formula. (70^) = (20)/(x) Step 4: Solve for x. Multiply both sides by x: x · (70^) = 20 Divide both sides by (70^): x = (20)/((70^)) Step 5: Calculate the numerical value. Using a calculator, (70^) ≈ 0.9397. x ≈ (20)/(0.9397) x ≈ 21.283 The value of x is 21.28. 3 done, 2 left today. You're making progress.