Q2 Distance between 2 Points in 3D Space (SL3.1) May 2022 - Paper 1 - TZ1 - IB Math AI SL

Q2 Distance between 2 Points in 3D Space (SL3.1) May 2022 - Paper 1 - TZ1 - IB Math AI SL Welcome to ZuAI - Ace Your IB Exams! In today's video, we will solve an IB Math problem involving the calculation of the length and angle of a rope holding a vertical pole. This question covers 3D geometry concepts that are crucial for your IB board exams. Question Breakdown: A vertical pole stands on horizontal ground with the bottom at the origin, O. The top, F, of the pole has coordinates (0, 0, 5.8). The pole is held by a rope attached to the ground at point A with coordinates (3.2, 4.5, 0). We need to find the length of the rope from A to F and the angle it makes with the ground. Solution: To solve this problem, we need to: Use the distance formula to calculate the length of the rope. Use trigonometry to find the angle the rope makes with the ground. Step-by-Step Solution: The coordinates of F are (0, 0, 5.8) and the coordinates of A are (3.2, 4.5, 0). Calculate the length of the rope using the distance formula: Length = sqrt((3.2 - 0)^2 + (4.5 - 0)^2 + (0 - 5.8)^2). To find the angle AOF, use trigonometric functions and the components of the vectors involved. Subscribe to our channel for more IB exam tips and solutions! Learn with ZuAI - your AI study buddy for IB exams. Visit ZuAI.co for personalized learning support. Tags: IB Math, IB Board Exams, Geometry, Rope Length Calculation, Angle Calculation, ZuAI, IB Exam Tips, Study Tips, Math Solutions, IB Exam Help, ZuAI - Ace Your IB Exams, Math Problems, AI Study Buddy, IB Study Guide, Exam Preparation, IB Math Help, Math Tips, IB Exam Practice, Study Smart Search Keywords: IB Math, IB Board Exams, Geometry, Rope Length Calculation, Angle Calculation, IB Exam Tips, Study Tips, Math Solutions, Exam Preparation