Question

Starting from its nest, an eagle flies at constant speed for 4.0 min due east, then 4.0 min due north. From there the eagle flies directly to its nest at the same speed.

How long is the eagle in the air? (in minutes)

Answer 1

13.6569 minutes

Step-by-step explanation:

The eagle flies east for 4 minutes and then north for 4 minutes. This creates a right triangle with sides of 4 and 4. You can find the other side of a right triangle (hypotenuse) by using the Pythagorean theorem, a^2 + b^2 = c^2

C is the hypotenuse which is the longest side, and A and B are the other two sides. So C equals 4^2 + 4^2 = c^2. c=5.6569. So the total distance traveled is 4+4+5.6569=13.6569