These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
02 Hours
110 Marks
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IB MATH AI HL, Paper 2, May, 2023, TZ2, Solved Past Paper
Master the 2023 IB May for Paper 2 Mathematics AI HL with examiner tailored solutions and comments for TZ2
Question 1 [Explained]
The scenario describes a park where two specific points, A and B, represent trees that are 6.36 meters apart.
Odette is playing football at point O in the park.
The distance from Odette to point A is 25.9 meters, and the angle between the lines OA and OB is 125 degrees.
This setup provides information about the distances and angles between the points O, A, and B within the park, which is essential for solving related geometric problems.
Question 1 [a] [Explanation]
Given triangle (AOB), determine the area of the triangle using the provided information.
This involves understanding the dimensions or coordinates given for points (A), (B), and (O), and applying the appropriate mathematical formulas to find the area.
Video Solution by an IB Examiner - Coming soon
Question 1 [b] [Explanation]
Imagine that Khemil is positioned at a spot, labeled as K, at a 12m distance from a point A, and the angle of KAB is precisely 45 degrees. What would be the length separating Khemil from point B?
This question asks us to compute the distance from Khemil's position to another point, B, using the information given about distances and angles.
Question 1 [c] [Explanation]
The task involves a park path shaped like a half-circle with a midpoint labeled A, creating a 45-degree angle with any point on the path. Located on this path is Khemil, and not far from him, a football rests at point X. We need to identify who is nearer to the football: Odette or Khemil.
Provided details are as follows: the distance from Khemil's position (K) to the football (X) is 22.2 meters; the angle from the center (Ô) to Khemil (K), known as ∠KÔX, is 53.8 degrees; and the angle from the center (Ô) to the football (X), called ∠ÔX, is 51.1 degrees. Utilizing this information, we must calculate the proximity of Odette to the football compared to that of Khemil.