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saw5 [17]
3 years ago
10

A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324 meters tall) and is attract

ing much attention from the many visitors to the city of Paris. A tourist is standing at ground level, 54 meters across from the Eiffel Square, aiming her binoculars at the nest. At what angle should she set her binoculars in order to see the next? Round your answer to the nearest tenth of a degree.
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

9514 1404 393

Answer:

  80.5°

Step-by-step explanation:

The applicable trig function is the tangent.

  Tan = Opposite/Adjacent

In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...

  tan(α) = 324/54

The value of the angle with this tangent is found using the arctangent function:

  α = arctan(324/54) ≈ 80.5°

She should set her binoculars to 80.5°.

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6 0
3 years ago
$1334 is deposited into a savings account at 8% interest, compounded quarterly. To the nearest year, how long will it take for t
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The future value of an investment is given by ...

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where P is the principal amount, r is the annual rate, and n is the number of times per year interest is compounded. Filling in the given values and solving for t, we get ...

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