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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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The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
34kurt

Answer:

115.3333

Step-by-step explanation:

346/3

Hope this helps. :)

7 0
3 years ago
A _____ is owned by its depositors who are paid dividends after all operating costs and fees are paid
pentagon [3]
The correct answer should be tax
5 0
3 years ago
You roll a number cube. How likely is it that you will roll a number less than 1? less than 7? Explain.
geniusboy [140]

Answer:

There is a zero percent that you will roll a number less than one but a 100% chance of rolling a number less than 7.

Step-by-step explanation:

6 0
3 years ago
Calculate the area of the triangle with the following vertices (3, -7), (6, 4), (-2, -3)
Monica [59]

Answer:

\boxed{\mathsf{A} \triangle = \red{\dfrac{67}{2}u.a}}

Step-by-step explanation:

Let's follow up with the solution. Considering a triangle with the vertices \mathsf{A(x_A, y_A)}, \mathsf{B(x_B, y_B)} and \mathsf{C(x_C, y_C)}, have a look at the representation in the cartesian plan.

From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

\mathsf{A} \triangle =  \dfrac{\left| \begin{array}{ccc}  \mathsf{x_A} & \mathsf{y_A }& 1 \\  \mathsf{x_B} &  \mathsf{ y_B} & 1 \\ \mathsf{ x_C} &  \mathsf{ y_C} & 1 \end{array} \right|}{2}

So, applying this knowledge we're going to have,

\mathsf{A} \triangle =  \dfrac{\left| \begin{array}{ccc}  3 & -7 & 1 \\ 6 &  4 & 1 \\ -2 &  -3 & 1 \end{array} \right|}{2}

\mathsf{A} \triangle =  \dfrac{1}{2}\left[  \left.\begin{array}{ccc}   3 & -7 & 1 \\ 6 &  4 & 1 \\ -2&  -3 & 1 \end{array}  \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]

\mathsf{A} \triangle = \dfrac{12 + 14 - 18 - (-8 - 9 - 42)}{2}

\red{\mathsf{A} \triangle = \dfrac{67}{2} = 33,5u.a}

Hope you enjoy it, see ya!)

\green{\mathsf{FROM}}: Mozambique, Maputo – Matola City – T-3

DavidJunior17

3 0
3 years ago
Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume
melisa1 [442]

Answer:

1st one is 1/3. The 2nd one is πr²h. The Last one is 1/3πr²h.

Step-by-step explanation:

The formula for the volume of a cone with the same base and height will always be 1/3 the volume of a cylinder. The exact formula for the volume of a cylinder is just πr²h. So, if a cone is 1/3 of that, it will result in 1/3πr²h.

8 0
3 years ago
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