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Mumz [18]
2 years ago
12

A pilot and co-pilot are performing a test run in a new airplane. The pilot is required to take off and fly in a straight path a

t an angle of elevation that is between 33° and 35° until the plane reaches an altitude of 10,000 feet. When the plane reaches 10,000 feet, the co-pilot will take over. Round each distance to the nearest tenth.

Mathematics
1 answer:
crimeas [40]2 years ago
5 0

Using the slope concept, it is found that:

  • The minimum horizontal distance is of 14,281.5 feet.
  • The maximum horizontal distance is of 15,398.6 feet.

<h3>What is a slope?</h3>
  • The slope is given by the <u>vertical change divided by the horizontal change</u>.
  • It's also the tangent of the angle of depression.

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

\tan{35^{\circ}} = \frac{10000}{d}

d = \frac{10000}{\tan{35^{\circ}}}

d = 14281.5

The maximum horizontal distance is with an angle of 33º, hence:

\tan{33^{\circ}} = \frac{10000}{d}

d = \frac{10000}{\tan{33^{\circ}}}

d = 15398.6

You can learn more about the slope concept at brainly.com/question/22568180

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Answer:

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Step-by-step explanation:

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denpristay [2]

The question is not complete because it is not written correctly

Complete Question:

The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?

a. 362,880

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c. 126

d. 120

Answer:

b. 15,120

Step-by-step explanation:

In other to solve the question above, we would use the formula for permutation.

This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.

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In the above question,

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