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
Here are the solutions to the assignment questions from the image: Problem 1: Let H be the height of the cliff. Let D be the distance of the boat from the foot of the cliff. We are given D = 120 m. The angle of depression from the top of the cliff to the boat is 60^. This means the angle of elevation from the boat to the top of the cliff is also 60^. Step 1: Set up the trigonometric relationship. Using the tangent function for the right-angled triangle: () = oppositeadjacent (60^) = (H)/(D) Step 2: Substitute the given values and solve for H. (60^) = (H)/(120) H = 120 (60^) H = 120 × sqrt(3) H ≈ 120 × 1.7320508 H ≈ 207.846096 m