On a planar field, you travelled 3 units east from point o. Next you travelled 4 units so as to
arrive at p. then you travelled from p in the north east direction such that you arrive at a point
that is 6 units east to point o. Next you travelled in north west direction so that you arrive at a
point q that is 8 units north to point p. the distance of point q to point o in the same units
should be
(A) 5
(B) 3
(C) 6
(D) 4
Answers
Given :- On a planar field, you travelled 3 units east from point o. Next you travelled 4 units so as to arrive at p. then you travelled from p in the north east direction such that you arrive at a point that is 6 units east to point o. Next you travelled in north west direction so that you arrive at a point q that is 8 units north to point p. the distance of point q to point o in the same units should be
(A) 5
(B) 3
(C) 6
(D) 4
Answer :-
from image we can see that,
1) Travelled 3 units from O .
- Let reached at M .
- OM = 3 units .
2) from M travelled 4 units and reached at P .
- MP = 4 units .
3) from p in the north east direction such that you arrive at a point that is 6 units east to point O .
- Let reached at Point N .
- ON = 6 units .
- MN = ON - OM = 6 - 3 units .
4) from N you travelled in north west direction so that you arrive at a point Q that is 8 units north to point P .
- PQ = 8 units .
- QM = PQ - MP = 8 - 4 = 4 units.
therefore, in right angled ∆QMO ,
→ QO = √[QM² + OM²] { By pythagoras theorem.}
→ QO = √(4² + 3²)
→ QO = √(16 + 9)
→ QO = √25
→ QO = 5 units . (A) (Ans.)
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Answer:
Step-by-step explanation:
5