Point S is 5m to the East of T which is 5m North to R. J is 5m east to P which is 13m Northwest of S. R is 5 m to the West of Q. What is the distance between J and Q? (Northwest to be somewhere in between North and west, not in exact middle)

Point S is 5m to the East of T which is 5m North to R. J is 5m east to P which is 13m Northwest of S. R is 5 m to the West of Q. What is the distance between J and Q? (Northwest to be somewhere in between North and west, not in exact middle) Correct Answer 17 m

According to the given information,

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The distance between J and S:

PS2 = JS2 + PJ2

132 - 52 = JS2

=169 - 25 = 144 = JS2

JS = 12

Hence, the distance between J and S is 12m.

The distance between J and Q:

JQ = JS + SQ

JQ = 12 m + 5 m = 17m.

Hence, the distance between J and Q is 17m.

Related Questions

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.