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
a) Step 1: Identify the known sides relative to angle . The side opposite to is AC = 8. The side adjacent to is AB = 6. Step 2: Use the tangent function to find . () = oppositeadjacent = (8)/(6) Step 3: Calculate . = ((8)/(6)) ≈ 53.1301^ Step 4: Round to one decimal place. ≈ 53.1^ b) Step 1: Identify the known sides relative to angle . The side opposite to is 3. The hypotenuse is 5. Step 2: Use the sine function to find . () = oppositehypotenuse = (3)/(5) Step 3: Calculate . = ((3)/(5)) ≈ 36.8699^ Step 4: Round to one decimal place. ≈ 36.9^ c) Step 1: Identify the known sides relative to angle (2 + 3^). The side opposite to (2 + 3^) is 12. The side adjacent to (2 + 3^) is 13. Step 2: Use the tangent function to find the angle (2 + 3^). (2 + 3^) = oppositeadjacent = (12)/(13) Step 3: Calculate the value of the angle. 2 + 3^ = ((12)/(13)) 2 + 3^ ≈ 42.7086^ Step 4: Solve for . 2 = 42.7086^ - 3^ 2 = 39.7086^ = (39.7086^)/(2) ≈ 19.8543^ Step 5: Round to one decimal place. ≈ 19.9^ d) Step 1: Identify the known sides relative to angle . The side adjacent to is 8.3. The hypotenuse is 11.7. Step 2: Use the cosine function to find . () = adjacenthypotenuse = (8.3)/(11.7) Step 3: Calculate . = ((8.3)/(11.7)) ≈ 44.7955^ Step 4: Round to one decimal place. ≈ 44.8^ Send me the next one 📸