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Lynna [10]
3 years ago
12

Frank stands 500 feet from the base of the Statue of Liberty. If Frank looks up with an angle of elevation of 30', how tall is t

he Statue of Liberty, to the nearest foot?
Mathematics
1 answer:
Over [174]3 years ago
4 0
Answer: 289 ft.

Explanation:

You can form a right triangle with these features:

1) Base = adjacent-leg = 500 feet

2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)

3) Height = opposite-leg = height of the Statue of LIberty = x

Now, use the equation for the trigonometric ratio tangent:

tan(angle) = opposite-leg / adjacent-leg

=> tan (30°) = x / 500ft

=> x = 500ft * tan(30°)

x = 288.67 ft which rounded to the nearest foot is 289 ft.
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II. amount of of active ingredient that will end up in the run-off = amount of active ingredient * the percentage of active ingredient that will end up in the run-off

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2. Let's list out the variables given, we have:

mass of pesticide = 25 lb, weight percent of active ingredient = 50% = 0.5

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