contestada

An airplane leaves an airport and travels due east for 255 miles. It then hears due south for 330 miles. From its current position, along what heading should it travel to reach the airport and how far is it?

Respuesta :

check the picture below

notice, is just a right-triangle, so to know how far the airport is, namely, how long is the hypotenuse, just use the pythagorean theorem

[tex]\bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}[/tex]
Ver imagen jdoe0001

To reach the airport it should travel due North-West for 417.04 miles.

What is Pythagoras theorem?

For a right triangle with diagonal 'c' and other sides 'a', 'b',

c² = a² + b²

For given example,

An airplane leaves an airport and travels due east for 255 miles. It then hears due south for 330 miles.

Consider the following figure for this example.

Let 'x' be the distance between airport and the current position.

Using Pythagoras theorem,

⇒ x² = 255² + 330²

⇒ x² = 173925

⇒ x = 417.04 miles

Therefore, to reach the airport it should travel due North-West for 417.04 miles.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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Ver imagen PratikshaS

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