a man goes 15m due west and 8 m north find how far from its starting point
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Answered by
133
first the man goes to the west 15 m from point A to point B and then it turns north from point B and walks 8 m to point C.
This forms a right angled triangle ABC
So,by pythagoras theorem
![AC^{2} = AB^{2}+ BC^{2} AC^{2} = AB^{2}+ BC^{2}](https://tex.z-dn.net/?f=+AC%5E%7B2%7D+%3D+AB%5E%7B2%7D%2B+BC%5E%7B2%7D++)
SO,
![AC^{2} = 15^{2} + 8^{2} AC^{2} = 15^{2} + 8^{2}](https://tex.z-dn.net/?f=+AC%5E%7B2%7D+%3D+15%5E%7B2%7D+%2B+8%5E%7B2%7D+)
![AC^{2} = 289 AC^{2} = 289](https://tex.z-dn.net/?f=+AC%5E%7B2%7D+%3D+289)
![AC^{2}=225+64 AC^{2}=225+64](https://tex.z-dn.net/?f=+AC%5E%7B2%7D%3D225%2B64+)
![AC= \sqrt{289} AC= \sqrt{289}](https://tex.z-dn.net/?f=AC%3D+%5Csqrt%7B289%7D+)
AC = 17 metres.
So the man is now 17metres away from his starting point.
This forms a right angled triangle ABC
So,by pythagoras theorem
SO,
AC = 17 metres.
So the man is now 17metres away from his starting point.
kailashsharma:
17
Answered by
17
Answer:
first the man goes to the west 15 m from point A to point B and then it turns north from point B and walks 8 m to point C.
This forms a right angled triangle ABC
So,by pythagoras theorem
SO,
AC = 17 metres.
So the man is now 17metres away from his starting point
Read more on Brainly.in - https://brainly.in/question/2686822#readmore
Step-by-step explanation:
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