Question

while travelling from one station to another a car takes 75 km North 60 km North Asian 20 km minimum distance between the two station is

Answer 1

Sum of Square of Sides = Square of HypotenuseSimply draw a diagram of the path taken by the car.Now, We need AD,First let’s take Triangle BEC,We know Angle C is 45, and Angle E is 90 and hence Angle B would be 45 (180–90–45)As Angles B and C are 45, that implies, sides CE and BE are also identical in length. say aWe Know BC = 60 kms==> 60^2 = 2 a^2==> a = 42.4264 kmsIn CE, we know CD = 20 Kms, and hence DE = a - 20 = 42.4264 -20 = 22.4264 kmsAnd BE = 42.4264 Kms==> AE = AB + BE = 75 + 42.4264 = 117.4264Now Take Triangle ADEDisplacement is the Hypotenuse,==> x^2 = (117.4264)^2 + (22.4264)^2==> x = Sqrt (13788.959417 + 502.94341696) = Sqrt (14291.902834)==> Displacement = x = 119.548746685 kms