Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4 (picture provided)
1 answer:
Answer:
Choice B is correct
Step-by-step explanation:
The eccentricity of the conic section is given as 4 and thus the conic section is a hyperbola. Hyperbolas are the only conic sections with an eccentricity greater than 1.
Next, the directrix of this hyperbola is located at y = -6 implying that the hyperbola will be opening upwards. Consequently, the polar equation of this hyperbola will be of the form;
The value of k in the numerator is the product of eccentricity and the absolute value of the directrix;
k= 4*6 = 24
The polar equation is thus given by alternative B
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Answer:
The distance of the plane from the base of the tower is 25.5 foot.
Step-by-step explanation:
As given
Max is in a control tower at a small airport.
He is located 50 feet above the ground when he spots a small plane on the runway at an angle of depression of 27°.
Now by using the trigonometric identity.
As shown in the figure given below
Perpendicular = CB
Base = AC = 50 feet
Put in the identity.
Put in the above
CB = 0.51 × 50
CB = 25.5 foot
Therefore the distance of the plane from the base of the tower is 25.5 foot.
