Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting?

Question

Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?

Answer 1

Pythagorean Theorem
c² = a² + b²

√c² = √(65)² + (75)²

√c² = √4225 + 5625

√c² = √9850

c = 99.2471662 Kilometers

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Answer 2

On a globe like the earth, that will depend on where you start from. For example, if you travel 65 kilometers north from a point 65 kilometers below the North pole you will be at the north pole and can not travel east.

Answer 3

Assume your travel distance forms a right triangle, then using Pythagorean's Theorem, your starting point to the final spot acts as a hypotenuse.
Then, it is equal to the square root of (65^2 + 75^2), approx. 99.24 km

Answer 4

99.25 miles away. It makes a right triangle so you can use the pythagorean thereom:
a^2 + b^2 = c^2.
a is your 65, b is your 75, c is the hypoteneuse.

So c = sqrt(65^2+75^2)=99.25

Answer 5

this is a right traingle. use pythagoras theorem
65 is one side the other side is 75. the hyptenuse is what we need.
we calculate it by sqrt(65^2 + 75^2)
distance from beginnig is 99.24

Answer 6

Here is a hint: (a^2) + (b^2) = (c^2)

Simple geometry. :)