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A Man Goes 10 M Due East and Then 24 M Due North. Find the Distance from the Straight Point. - Mathematics

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प्रश्न

A man goes 10 m due east and then 24 m due north. Find the distance from the straight point.

योग
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उत्तर

Let O be the original position of the man.
From the figure, it is clear that B is the final position of the man.
ΔAOB is right-angled at A.
By Pythagoras theorem,
OB2 = OA2 + AB2
OB2 = (10m)2 + (24m)2
OB2 = 100m2 + 576m2
OB2 = 676m2
OB2 = (26m)2
OB = 26m
Thus, the man is at a distance of 26m from the straight point.

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अध्याय 17: Pythagoras Theorem - Exercise 17.1

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 17 Pythagoras Theorem
Exercise 17.1 | Q 4

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