Question - Calculating Distance in Right-Angled Triangle
Solution:
The problem seems to describe a right-angled triangle, with the slide forming one leg west of the tire swing and another leg south of the monkey bars. The distance between the slide and the tire swing is 2 meters, which is one leg of the triangle. The distance between the tire swing and the monkey bars is 3 meters, which is the other leg of the triangle. We need to find the hypotenuse of the triangle, which will be the distance from the slide to the monkey bars.This can be solved using the Pythagorean theorem. The theorem states that for a right-angled triangle with legs a and b, and hypotenuse c,c² = a² + b²Let's substitute the given values:c² = 2² + 3²c² = 4 + 9c² = 13Now, we take the square root of both sides to solve for c:c = √13The exact distance is the square root of 13. However, if you want the answer rounded to the nearest tenth, you will need to calculate the square root.√13 ≈ 3.6So, the slide is approximately 3.6 meters away from the monkey bars.
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