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Juliette [100K]
3 years ago
8

The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizon

tal distance, in miles, of the jet from the house, express d in terms of a trigonometric function of x.
Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

d = 2cot(x) or d = 2/tan(x)

Step-by-step explanation:

The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

tan (x) = \frac{2}{d}\\d = \frac{2}{tan (x) }\\cot (x) = \frac{d}{2} \\d= 2cot(x)

Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).

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A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
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Answer:

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Step-by-step explanation:

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(0.375,0.377) is the required 95% confidence interval for the population mean potassium chloride concentration.

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