find both direction & distance section 3 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16

Rahul walks a distance of 10 km towards south, then he turn to his left and walks 5 km. From here he took a right turn and walks 6 km and stops at a point A. Find the distance between the starting point and A and A is in which direction with respect to starting point.

a) 17km south west

b) 17km north west

c) 17km, north east

d) 17km south east

e) None of these

Answer: (d)

Distance = $16^2 + 5^2 = √281 = 17km (approx.)$

Question : 17

Raghav starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.

a) 20m, south west

b) 20m, north west

c) 10m, south east

d) 10m, north east

e) None of these

Answer: (d)

$X^2 = 6^2 + 8^2$

$X = √ 100 = 10$

Question : 18

Kishankant walks 10 km towards North. From there, he walks 6km towards South. Then he walks 3km towards East. How far and in which direction is he with reference to his starting point ?

a) 7km East

b) 5km West

c) 7km West

d) 5km North-East

Answer: (d)

The movements of Kishankant are as shown in Fig. (A to B, B to C and C to D).

AC = (AB-BC) =(10–6) km = 4 km

Kishankant's distance from starting point A

= AD = $√{AC^2 + CD^2}$ = $√{4^2 + 3^2}$ = $√{25}$ = 5 km

So Kishankant is 5 km to the North-east of his starting point.

direction-and-distance

Question : 19

P walks 8m to the south ,then he turn to his left and walks 15m then he turn to his right and walk 12m again he turns to his right and walk 15m and turn right and stopped how far and in which direction from the starting point

a) 20 west

b) 20 east

c) 10 north

d) 20 south

e) None of these

Answer: (d)

Question : 20

Starting from a point P, Sachin walked 20 metres towards South. He turned left and walket 30 metres. He then turned left and walked 20 metres. He again turned left and walked 40 metres and reached a point Q. How far and in which direction is the point Q from the point P ?

a) 10 metres West

b) 20 metres West

c) 10 metres North

d) 10 metres East

Answer: (a)

direction-and-distance

The movements of Sachin are as shown in Fig.

(P to B, B to C, C to D and D to Q)

Clearly, distance of Q from P

= PQ = (DQ - PD) = (DQ - BC)

= (40 - 30) m = 10 m

Also, Q is to the West of P.

∴ Q is 10 m West of P.

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