Rushi is camping in the wilderness, he parks his car and walks 10 feet straight and then takes a right turn and walks 20 feet. He encounters some magic mushrooms which throws his sense of direction off and proceeds to take another right turn and walks 40 feet. Finally, he takes a left turn and walks 20 feet and sets up his camp for the night.
From the camped spot, if Rushi wants to take the shortest route to the point where he encountered magic mushrooms, what is the distance (to the nearest integer) he would have to travel?
Solution
Rushi's actions can be traced into the following diagram,
From the camped spot to the point where he discovered magic mushrooms it is a right-angled triangle with sides 40 and 20.
Distance would be: $$\sqrt{1600+400}=20\sqrt{5}$$
Which approximately is: 44.72, nearest integer is 45.
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