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masha68 [24]
2 years ago
10

A glider flies 13 miles north from the airport and then 24 miles diagonally southeast. Approximately how far west does the glide

r have to fly to return to the airport?
Mathematics
1 answer:
NISA [10]2 years ago
8 0

Answer:

20.2 miles

Step-by-step explanation:

This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:

/hyp/^{2} = /adj1/^{2} + /adj2/^{2}

/24/^{2} = /x/^{2} + /13/^{2}

576 = x^{2} + 169

x^{2} = 576 - 169

   = 407

x = \sqrt{407}

  = 20.1742

x = 20.2 miles

The glider has to fly 20.2 miles to return to the airport.

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