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
Welcome back Until — missed you this week. Here are the solutions for questions 3.5.1 and 3.5.2. 3.5.1 Find P. Step 1: Identify the known angles in PQR. The triangle is a right-angled triangle, so Q = 90^. We are given R = 30^. Step 2: Use the property that the sum of angles in a triangle is 180^. P + Q + R = 180^ Substitute the known values: P + 90^ + 30^ = 180^ Step 3: Solve for P. P + 120^ = 180^ P = 180^ - 120^ P = 60^ The measure of angle P is 60^ 3.5.2 Calculate PR. Step 1: Identify the known side and angle relative to the side we want to find. We know the side opposite to R is PQ = 70 cm. We know R = 30^. We want to find the hypotenuse, PR. Step 2: Choose the appropriate trigonometric ratio. The sine function relates the opposite side and the hypotenuse: () = OppositeHypotenuse In PQR, for R: (R) = (PQ)/(PR) Step 3: Substitute the known values into the equation. (30^) = 70 cmPR Step 4: Solve for PR. We know that (30^) = 0.5. 0.5 = 70 cmPR PR = 70 cm0.5 PR = 140 cm The length of PR is 140 cm Send me the next one 📸