Flights 204 and 317 are both approaching Hartsfield Atlanta International Airport from directions directly opposite one another and at an altitude of 2.5 miles. The pilot on flight 204 reports an angle of depression of 17 degrees 47 minutes to the tower, and the pilot on flight 317 reports an angle of depression of 12 degrees 39 minutes to the tower. Calculate the distance between the planes.

Answers

Answer 1

Answer:

19.26 miles

Step-by-step explanation:

Refer to attached picture. Not to scale.

The picture explains all the given parameters.

We need to find the distance d, which is the sum of x and y.

First convert minutes to degrees:

47 min = 47/90 deg = 0.52 deg39 min = 39/90 deg = 0.43 deg

Find x:

x/2.5 = cot (17.52°) ⇒ x = 2.5*3.1677 ≈ 7.92 mi

Find y:

y/25 = cot (12.43°) ⇒ y = 2.5*4.5369 ≈ 11.34 mi

The distance between the planes:

7.92 + 11.34 = 19.26 mi
Flights 204 And 317 Are Both Approaching Hartsfield Atlanta International Airport From Directions Directly

Related Questions

What is the solution to the inequality 13 x + 3 < 42 ?

Answers

Answer:

x < -15

Step-by-step explanation:

Here is the solution:

-3x-42 > 3

Add the numbers

-3x > 45

Divide both sides of the inequation by -3 and flip the inequality sign.

x < -15

Solve for x ... please help

Answers

Answer:

[tex]7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree[/tex]

x^2-25y^2+6x+18=0
help me ​

Answers

Answer:

im not very good at that but my best problematic ratio is deviding the x ponet by the ^ and then using your y ponet multiplyed by your first couple of numbers which are "x^2"

If a 1/4 gallon of paint covers a 1/6 of a wall continuing at this rate how much paint is needed for the entire wall

Answers

Answer:

1 1/2 gallons

Step-by-step explanation:

1/4 * 6 = 6/4 = 3/2

1/6+1/6+1/6+1/6+1/6+1/6 = 1 whole wall

that means it takes 6 times 1/4 gallon to finish the wall

PLEASE ANSWER ASAP BREAIANEST!!!!

Answers

Answer:

I believe it is -11/8 cups

the product of a number and -3 increased by 8 is no less than 35​

Answers

Answer:

-3x + 8 ≥ 35, hopefully that answers your question since you didn't really specify what you wanted your answer to be

Find the values of p and q such that 4x-5-x^2=q-(x+p)^2

Answers

Answer:

p = - 2 , q = - 1

Step-by-step explanation:

Rearrange the left side into standard form

- x² + 4x - 5

Factor out - 1 from - x² + 4x

= - (x² - 4x) - 5

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² tp x² - 4x

= - (x² + 2(- 2)x + 4 - 4) - 5

= - (x - 2)² - (- 4) - 5

= - (x - 2)² + 4 - 5

= - 1 - (x - 2)²

Comparing to q - (x + p)²

with p = - 2 and q = - 1

What are the things circled called? You can answer the question fully too if you’d like. I really need help in understanding this.

Answers

they are called the x and y axis

the sum of eight times a number and fifteen is seven. find the number.

Answers

here u go it would be 8x+15=7
8x+15=7
8x+15-15=7-15
8x=-8
8x/8=-8/8
x=-1
The number is -1

Help me tyyyyyyyyyyyyyyy

Answers

Answer:

option number 3

Step-by-step explanation:

Can someone please help me with these with step by step explanation. I also added a hint thing

Answers

Answer:

no i cant

Step-by-step explanation:

i just need points uwu

baka sussy

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. One school in the report, Springside Elementary, is labeled in the graph.

Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.

Answers

Interpreting the scatterplot, it is found that the correct option is:

Springside weakens the correlation shown in the scatterplot.

In the scatterplot, the mean test score is plotted as function of the mean class-size.From this, we can verify that as the mean class size increases, the mean score decreases, that is, there is a negative correlation between the mean class size and the mean test score.However, for Springside, the mean test score is greater than most other schools with smaller class sizes, which is a different result than expected, thus, it weakens the correlation, and the correct option is:

Springside weakens the correlation shown in the scatterplot.

A similar problem is given at https://brainly.com/question/13961820

In 2016, George Washington's birthday fell on Friday, February 12. On what day of the week does George's birthday fall in 2025?​

Answers

Every year the day of the same date is different so let’s say my birthday this year is Thursday next year it will be Friday so 25-16 = 9 years so friday + 9 days = Sunday
Hope it helps!
Can I get brainliest

PLEASE HELP DUE TONIGHT WITH STEPS

Answers

Answer:

x>=-8 and a colored in point on negative eight with an arrow to the right

Step-by-step explanation:

-7x<=56 is the given

to solve, we would divide both sides by -7. However, when dividing an inequality, the direction of the inequality sign flips (if you've heard the alligator example, the mouth opens in the opposite direction it was before)

so we know have x>=-8

On the number line, the colored in dot represents that the value it is on is within the set, and since this can also be equal to -8 we have to use a colored in dot because its within the possible values. If it was not <= or >= then we would use an open circle to represent it cannot be that value but can be anything in the direction the arrow is pointing.

The arrow would point to the right because x can be larger or greater than -8 as well

Question 29
How many factors does 100 have?
10
9
6
5

Answers

Answer:

It has 9 factors.

Step-by-step explanation:

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Therefore, if you count both 1 and 100, it has 9 factors.

9 factors you are welcome

Someone please help me! Will mark brainliest!

Answers

Answer:

F

(

x

)

=

x

2

3

x

+

C

Step-by-step explanation:

Will mark brainliest
Please help with these two questions for me

Answers

refer to attachments

Attachment 1=Solution 1Attachment 2=Solution 2

9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.

Answers

Answer:

55.2

Step-by-step explanation:

First Multiply

9.2*6

Answer:52

Step-by-step explanation:9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.

Distribute: -6(3x – 4) a-18x + 10 b-18x + 24 c-18x - 4 c-18x - 24​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The DISTRIBUTIVE PROPERTY formula is}\downarrow\\\large\textsf{a(b + c)}\\\large\textsf{= a(b) + a(c)}\\\large\textsf{= ab + ac}[/tex]

[tex]\large\text{Now that we have the formula, we can solve for your question/answer.}[/tex]

[tex]\large\text{YOUR EQUATION: \underline{\underline{\textsf{-6(3x - 4)}}}}}\\\\\large\textsf{= -6(3x) - 6(-4)}\\\large\textsf{= -6(3x) + 6(4)}\\\large\textsf{= -18x + 24}\\\huge\boxed{\rm{Therefore, your\ answer\ is: \mathsf{-18x + 24}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

ANSWER FOR A CHANCE TO WIN A TESLA MODEL X


(image down below)

Answers

Answer:

all right angles are congruent (90 degrees)

Step-by-step explanation:

I don't know if there are choices for you, but all right angles are congruent, meaning they are the same measurement

What is the answer 38 + 7k = 8(k + 4)

pls give me an answer not a link so pls this is the last of my points

Answers

Answer:

[tex]k=6[/tex]

Step-by-step explanation:

We can distribute the right side to get [tex]38+7k=8k+32[/tex].

We can subtract [tex]7k[/tex] from both sides to get [tex]38=k+32[/tex].

We can subtract [tex]32[/tex] from both sides to get [tex]6=k[/tex].

So, the answer is [tex]\boxed{k=6}[/tex] and we're done!

The solution to the equation 38 + 7k = 8(k + 4) is k = 6.

We can begin by simplifying both sides of the equation in order to find the solution to the equation 38 + 7k = 8(k + 4):

38 + 7k = 8k + 32

Next, we can separate the constant terms from the variable terms by placing them on opposite sides of the equation:

7k - 8k = 32 - 38

Simplifying even more

-k = -6

We can multiply both sides of the equation by -1 to remove the negative sign:

k = 6

Hence K = 6 is the answer to the equation 38 + 7k = 8(k + 4).

Learn more about equation click;

https://brainly.com/question/29657983

#SPJ6

is -10 equal to 4 what is the answer

Answers

-10 is not equal to 4. These are two different numbers.

Will mark 50 points for whoever answers correctly !

Answers

Answer:

Correctly !

Step-by-step explanation:

IN THE FIGURE BC IS PARALLEL TO AD. AREA OF TRIANGLE ABC IS 100 cm². WHAT IS THE AREA OF TRIANGLE BCD



Answers

Answer:

150 cm2

Step-by-step explanation:

double of triangle abc is 200

this is in middle of both

Write the equation of the line that passes through the given points. (-1. -1.5) and (0, – 3.5)

Answers

Answer (in slope-intercept form): y = -2x - 3.5

Solving:
Slope can be found using the change in y over the change in x, or the “rise over run”.
-3.5 - -1.5 = -3.5 + 1.5 = -2
0 - -1 = 0 + 1 = 1
Slope (m) = -2/1 or -2

Since the second point’s x-coordinate is zero, that means its y-coordinate is the y-intercept.
Y-intercept (b) = -3.5

Slope-intercept equation: y = mx + b
So: y = -2x - 3.5

Simplify
x + x + x + y X y X y

Answers

Answer:

3x+y³

Step-by-step explanation:

x+x+x+y×y×y3x+y³

D
100%
+
X
Which is the best estimate for V34 to the nearest whole number?
A. 36
ОО
B. 35
C. 17
O
O
D. 8
E. 6

Answers

Answer:

The answer would be B 35.

Step-by-step explanation:

34 is closest to 35.

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.



If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours? If you get stuck, you can use the table to help. what is this????????? Write an equation that gives the amount of snow that has fallen after x hours at this rate.



Complete the equation below



y = _______________



Use x as your variable.

Answers

Answer:

I think y = 13 inches of snow

Please no links will mark brainiest for compleat answer.
question is in pic below

Answers

Answer:

[tex]16x^{10}[/tex]

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]

[tex]s=4x^{5}[/tex]

[tex]s^{2} =(4x^{5} )^{2}[/tex]

[tex]s^{2} =16x^{10}[/tex]

Andre lives 1.6 km from school. Kelsey lives 50% as far from school as Andre. How far, in km, does Kelsey live from school?

Answers

Answer:

0.8 km

Step-by-step explanation:

just divide 1.6km by 2

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