If an airplane flies 100 miles due north, then turns and flies 100 miles directly northeast, how far is it the?

Question

If an airplane flies 100 miles due north, then turns and flies 100 miles directly northeast, how far is it then from the original starting point, to the nearest mile?

tha_munk2 · Accepted Answer

The Pythagorean Theorum will lead to your answer young grass hopper.

Anonymous · Answer

184 miles NNE(22.5 degrees east). You cannot simply use Pythagoras' Theorem because there is no 90 degree angle. The angle bet N & NE is 135 degrees. L1=100, L2=100 forms an isosceles triangle. If it's height is drawn, then two equilateral right triangles with angleA=67.5 degrees are formed. The answer is 2 x sin67.5 x 100 = 184

Charles K · Answer

-- This should help:  In mathematics, the Pythagorean theorem is a relation in Euclidean geometry among the three sides of a right triangle . It states:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

The theorem can be written as an equation:

 a^2+b^2=c^2     where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. http://en.wikipedia.org/wiki/Pythagorean_theorem

If an airplane flies 100 miles due north, then turns and flies 100 miles directly northeast, how far is it the?

3 Answers