a child desires to reach a point that is 3.4km from its present location and in a direction that is 35° north of east.however, it must travel along streets that go either north-south or east-west.

what is the minimum distance he could travel to reach his destination?

2 answers

use 3.4 km as the hypotenuse of a triangle with a 35º angle

the sum of the other two sides is the minimum distance
X = 3.4*cos35 = 2.79 km.
Y = 3.4*sin35 = 1.95 km.
d = 2.79 + 1.95 =