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
Hey Dr.Lady, good to see you again. Here are the solutions for the problems: Problem 2: We have a right-angled triangle with a hypotenuse of 5 and an angle of 45^. We need to find the opposite side x and the adjacent side y. Step 1: Find x using the sine function. () = oppositehypotenuse (45^) = (x)/(5) x = 5 × (45^) x = 5 × sqrt(2)2 x = 5sqrt(2)2 x ≈ 3.536 Step 2: Find y using the cosine function. () = adjacenthypotenuse (45^) = (y)/(5) y = 5 × (45^) y = 5 × sqrt(2)2 y = 5sqrt(2)2 y ≈ 3.536 The values are: x = 5sqrt(2)2, y = 5sqrt(2)2 Problem 3: We have a right-angled triangle with the adjacent side to 60^ as 2. We need to find the hypotenuse x and the opposite side y. Step 1: Find x using the cosine function. () = adjacenthypotenuse (60^) = (2)/(x) x = (2)/((60^)) x = (2)/(0.5) x = 4 Step 2: Find y using the tangent function. () = oppositeadjacent (60^) = (y)/(2) y = 2 × (60^) y = 2 × sqrt(3) y ≈ 3.464 The values are: x = 4, y = 2sqrt(3) Problem 4: We have a right-angled triangle with a hypotenuse of 10 and an angle of 60^. We need to find the adjacent side x and the opposite side y. Step 1: Find x using the cosine function. () = adjacenthypotenuse (60^) = (x)/(10) x = 10 × (60^) x = 10 × 0.5 x = 5 Step 2: Find y using the sine function. () = oppositehypotenuse (60^) = (y)/(10) y = 10 × (60^) y = 10 × sqrt(3)2 y = 5sqrt(3) y ≈ 8.660 The values are: x = 5, y = 5sqrt(3) Send me the next one 📸