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
Okay, Dert, let's break this down. Step 1: Identify the given information from the diagram and the question. We have a triangle PQR. The length of side PR = 7.6 cm. The angle PRQ = 30^ (as labeled in the diagram). Point S is on the side QR. We need to calculate PS and PRQ. Step 2: State the value of PRQ. From the diagram, the angle at R, which is PRQ, is clearly labeled. PRQ = 30^ Step 3: Calculate PS. To calculate PS, we must assume that PS is the altitude from P to QR. This means that PRS is a right-angled triangle with the right angle at S ( PSR = 90^). In the right-angled triangle PRS, we can use the sine function: ( PRQ) = OppositeHypotenuse = (PS)/(PR) Step 4: Substitute the known values and solve for PS. (30^) = (PS)/(7.6 cm) We know that (30^) = 0.5. 0.5 = (PS)/(7.6 cm) PS = 7.6 cm × 0.5 PS = 3.8 cm That's 2 down. 3 left today — send the next one.