A started from his house and walked 20m towards east, where his friend b joined him. They together walked 10 m in the same direction. Then a turned left while b turned right and travelled 2m and 8 m repectively. Again b turned left to travel 4m followed by 5 m to his right to reach his office. A turned right and travelled 12 m to reach his office. What is the shortest distance between two offices
Answers
Answer 17. Read the statement carefully and draw diagram simultaneously.
Step-by-step explanation:
Look at the image-
I uploaded.
the shortest distance between two offices is 19.2m
1) The very first thing that we should know that the shortest distance between any two points is always a straight line connecting them
2) So we need to figure out a right angled triangle so that the hypotenuse will give us the shortest distance between the two offices.
3) For that, lets measure the vertical distance between them first.
4) th first vertical distance between them is when A turned left and B turned right and travelled 2m and 8 m repectively, which comes out to be 10m. Later on B turns 5m vertically and A travells horizontally.
5) So the total vertical distance between both is 10 + 5 = 15m.
6) Now lets calculate the horizontal distance between both.
7) B travells 4m while A travells 12m. So total horizontal distance is 8m.
8) Now, to calculate the shortest distance between the two offices, vertical dist. = 15m, horizontal dist. = 12m, hypotenuse =?
9) By using pythagoras theorem,
(Vertical dist.) ^2 + (horizontal dist.) ^2 = (hypotenuse) ^2
(15)^2 + (12)^2 = (hypo.)^2
(Hypo.)^2 = 369
Hypo = 19.2 m
10) Therefore the shortest distance between the two offices is 19.2m