Suppose you travel North for 35 kilometers then travel East

Suppose you travel North for 35 kilometers, then travel East 65 kilometers. How far are you from your starting point? North and East can be considered the directions of the y and x axis respectively. Round to the tenth\'s place.

Solution

Given. You travel north for 35 kilometers Then travel east 65 kilometers. Illustration Travel 65 km East (Leg) _____ | / | / Tavel 35 km north | / <- this is the distance from the starting point (Leg) | / (Hypotenuse) |/ . starting point Notice that you form a right triangle. we use pythagorean thereom Pythagorean Theorem states tht in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs See illustration above. Representation Let c = the Hypotenuse a = the leg (north) = 35km b = the leg (east) = 65 c^2 = a^2 + b^2 c^2 = 35^2 + 65^2 c^2 = 1225 + 4225 c^2 = 5450 extract the sqrt both sides to find c. sqrt c^2 = sqrt 5450 c = 73.8 km <-------your distance from the starting point