# A plane rises from take-off and flies at an angle of 10 degrees with the horizontal runway. When it has gained 500 feet, how do you find the distance, to the nearest foot, the plane has flown?

The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle

We may hence use trig ratios to solve for any of the unknowns, in particular for the distance r as follows :

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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