from point x ankit walks 112m east to reach at point y .from point y ankit walks 15m towards north to reach point z . what is the straight line distance postion when he started betwwen position when he started and his postion now?
117m
113m
123m
127m
Answers
Answer:
Step-by-step explanation:
113 M
Given: From point x ankit walks 112m east to reach at point y. Then from point y he walks 15m towards north to reach point z.
To find: The straight line distance between the position when he started and his postion now
Solution: W can understand from the given question that the points x, y and z form a right angled triangle where xy is the base and yz is the perpendicular.
The required distance which we need to find is the hypotenuse zx of this triangle.
Here, xy = 112 m and yz = 15 m.
Using Pythagoras' theorem,
(zx)² = (xy)² + (yz)²
⇒ (zx)² = (112)² + (15)²
⇒ (zx)² = 12544 + 225
⇒ (zx)² = 12769
⇒ zx = 113 m
Therefore, the distance of the straight line between the position when he started and his postion now is 113 m
Answer: 113 m