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alexandr402 [8]
3 years ago
12

A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d

irect distance of the helicopter from bristol?

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

Then the helicopter flies 8 miles North before landing.

To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

Hypotenuse^2=Short\ leg^2+Shortest\ leg^2

Hypotenuse^2=10^2+8^2

Hypotenuse^2=100+64\\Hypotenuse^2=164

Taking square root both sides.

\sqrt{Hyptenuse^2}=\sqrt{164}\\Hypotenuse = 12.81\ miles

Thus, the distance of the helicopter from the bristol is approximately 12.81 miles

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