Circles and Ellipses

The radio tower on a navy vessel continuously sends out signals in every direction to pick up any other vessels within a $11$11 km radius.

Let the tower be positioned at $\left(0,0\right)$(0,0) on the plane.

a

A submarine is $9.1$9.1 km East and $7.1$7.1 km North of the tower. What is its direct distance from the tower?

Give your answer to one decimal place.

b

Will the radio tower's signals pick up the submarine?

No

A

Yes

B

No

A

Yes

B

Easy

Approx 3 minutes

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Apply the geometry of conic sections

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