Question

Q10
Kashvi is facing towards rising sun. She
turns to her left and walks for 60 m. She
then turned to West and walked for 15
m. Then she turned towards left at an
angle of 45° and reached 95 m from her
original position. How much total
distance did she travel?
95 m
115 m
155 m
175m
Aptitude​

Answer 1

Answer:

60+15+95 = 170m is total distance

Answer 2

Given:

The original position of Kashvi: Facing East

To find:

The total distance travelled by Kashvi

Solution:

The total distance travelled by Kashvi is 175m.

We can find the distance by following the given steps-

We know that Kashvi was initially facing the sunrise i.e., East. From there she walked 60m towards the North, 15m towards the West, and then towards the southwest direction.

The distance she walked after turning at 45° is 95m.

So, the distance travelled by her from West to the South can be obtained using the Pythagoras theorem.

From the figure, we can obtain the length of AB.

AC=60m and BC=(95-15)=80m

$AB^{2} =AC^{2} +BC^{2}$

$AB^{2}$=$60^{2} +80^{2}$

$AB^{2}$=3600+6400

$AB^{2}$=10,000

AB=100m

Now the total distance can be calculated by adding the length of distances she walked.

So, the total distance travelled by Kashvi=DE+EA+AB

=60+15+100

=175m

Therefore, the total distance travelled by Kashvi is 175m.