For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Hypotenuse of the triangle.
Therefore, applying the Pythagorean theorem, we have:
h ^ 2 = 6 ^ 2 + 10 ^ 2
Clearing h we have:
[tex]h = \sqrt{6 ^ 2 + 10 ^ 2} [/tex]
Rewriting we have:
[tex]h = \sqrt{36 + 100} [/tex]
[tex]h = \sqrt{136} [/tex]
[tex]h = \sqrt{4*34} [/tex]
[tex]h = 2\sqrt{34} [/tex]
Answer:
the bird would fly about:
[tex]h = 2\sqrt{34} [/tex] miles
