Airplanes use radar (radio waves) to measure distances. The plane is at a height of 5200 m. The airport is 10.2 km away. How far does the plane need to travel before it lands? a) 11.4 km b) 10.4 km c) 5200 km d) 10.2 km

Respuesta :

A: 11.4

what we know:

:1 km = 1000 m

: pythagorean theorem = a² + b² = c²

Ok, so first, what we need to do is convert 5200 m into km. So we need to do 5200 / 1000 which is 5.2. So now we know two of the triangles legs. Now we have to find the hypotenuse, which is the distance the plane needs to travel before landing. We can use pythagorean theorem. So, 5.2² + 10.2² = c². If we do this in a calculator we will get c² = 131.08. But we are not done yet. To get the actual c, and not c² we need to square root both sides. Doing this will give us a decimal that rounds to 11.4.

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