Points P and Q respectively 24m north and 7m east point R. Calculate |PQ| in meters
Answer Details
We can use the Pythagorean theorem to find the distance between points P and Q. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, we can consider P, Q, and R as the three vertices of a right-angled triangle, with PQ as the hypotenuse.
Since P is 24 meters north of R and Q is 7 meters east of R, we can draw a right-angled triangle with vertical side 24 meters and horizontal side 7 meters. Then, using the Pythagorean theorem, we have:
|PQ| = sqrt(24^2 + 7^2)
|PQ| = sqrt(576 + 49)
|PQ| = sqrt(625)
|PQ| = 25 meters
Therefore, the distance between points P and Q is 25 meters.
Hence the answer is 25.