What is the area of the circle whose equation is (x − 9)2 + (y − 3)2 = 64?

Mathematics

1 answer:

aalyn [17]2 years ago

7 0

(x-xo)²+(y-yo)²=r²
(x-9)²+(y-3)²=64
r²=64
Area of a circle=πr²=3.14×64=200.96

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In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa

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Answer:

9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

tan(α) = 500/3000 = 1/6

α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

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