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xz_007 [3.2K]
1 year ago
7

An airplane is flying at 4000 feet above the ground. If the angle of depression from the airplane to the beginning of the runway

is 5.4°, what is the horizontal distance to the nearest tenth of a mile of the airplane to the beginning of the runway?
Mathematics
1 answer:
Art [367]1 year ago
8 0

Answer:

42315.6

Step-by-step explanation:

Let the horizontal distance be x.

\tan 5.4^{\circ}=\frac{4000}{x} \\ \\ x=\frac{4000}{\tan 5.4^{\circ}} \\ \\ x \approx 42315.6

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olasank [31]
Answer=13 feet long

This information describes a right triangle, with sides 5ft and 12ft.

a²+b²=c²
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The ladder needs to be 13ft long
3 0
3 years ago
The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol
Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

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σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

7 0
3 years ago
(FIRST PERSON TO ANSWER GETS BRAINLIEST!!!) A student earned $2500.75 at his summer job making $12.50 per hour. Let h represent
laiz [17]

<u>Answer:</u>

12.50 \space\ h = 2500.75

<u>Step-by-step explanation:</u>

We know from the question that the student earned $12.50 <em>per hour</em>.

Using this information, we can say that if the student worked for <em>h </em>hours, they would make a total of 12.50 × <em>h </em>dollars.

We also know that the total money they earned is $2500.75.

∴ Therefore, we can set up the following equation:

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From here, if we want to, we can find the number of hours worked by simply making <em>h</em> the subject of the equation and evaluating:

<em>h </em>=<em> </em>\frac{2500.75}{12.50}

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5 0
2 years ago
Read 2 more answers
For which equation does it make the most sense to solve by completing the square?
denis-greek [22]
Completing the square is a method used to solve a quadratic equation by changing the shape of the equation so that the left side is a perfect square trinomial.
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7 0
3 years ago
And insurance agent receives 15% of the cost of each insurance policy she sells how much does the agent receive for a policy ths
hammer [34]

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3 0
2 years ago
Read 2 more answers
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