A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r
each finally at position Z. The position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between X and Y.
1 answer:
Answer:
The distance between X and Y is 68m
Step-by-step explanation:
Consider the diagram attached:
A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.
We have to find distance XY.
Let the distance XY be x
Total distance covered by the person = XY + YZ
We know that total distance covered is 100m, so
100m = x + YZ
YZ = (100 - x)m
See the diagram, XZY forms a right angled triangle such that:
Hypotenuse = XY = x
Base = XZ = 60m
Perpendicular = YZ = (100-x)m
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
x² = (60)² + (100-x)²
Solve the equation for x, we get:
x = 68m
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