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


7x + 3x - 18 = 6(x + 3)

Answers

Answer:

x=9, therefore 72=72

Step-by-step explanation:

I just distributed.

Answer:

x = 9

Step-by-step explanation:

7x + 3x - 18 = 6(x + 3) ← distribute parenthesis by 6

10x - 18 = 6x + 18 ( subtract 6x from both sides )

4x - 18 = 18 ( add 18 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

8x - 3x + 2 - x = ax + b
solve for b

Answers

Answer:

b = -ax + 4x + 2

Step-by-step explanation:

8x - 3x + 2 - x = ax + b

~Combine like terms

4x + 2 = ax + b

~Subtract ax to both sides

4x - ax + 2 = b

~Rewrite

b = -ax + 4x + 2

Best of Luck!

What is the value of x in the equation 5 − 3x = −7?

Answers

Step-by-step explanation:

5 − 3x = −7

=> 5 + 7 = 3x

=> 12 = 3x

[tex] = > x = \frac{12}{3} [/tex]

=> x = 4 (Ans)

Given :

5 − 3x = −7

To Find :

The required value of x .

Solution :

[tex]\qquad \sf \: { \dashrightarrow 5 - 3x = - 7}[/tex]

Adding (–5) to both sides :

[tex]\qquad \sf \: { \dashrightarrow 5 + ( - 5) \: − 3x = −7 + ( - 5)}[/tex]

[tex]\qquad \sf \: { \dashrightarrow \: − 3x = - 12}[/tex]

Dividing both sides by 3 :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ - 3x}{3} = \dfrac{ - 12}{3} } [/tex]

[tex]\qquad \sf \: { \dashrightarrow − x = −4}[/tex]

Cancelling (–) from both sides we get :

[tex]\qquad {\pmb {\bf{ \dashrightarrow x = 4}}} \\ [/tex]

Therefore, The required value of x is 4.

what is 3 +3 divded by 4

Answers

Answer:3/2

Step-by-step explanation: 3+3/4

6/4=3/2

Answer:

1.5

Step-by-step explanation:

3+3=6

6/4 =1.5

can someone help me with this asap ? thanks !!

Answers

Answer:

domain = all real numbers

Step-by-step explanation:

An inequality is unnecessary in this situation... nor logically required.

look at the following numbers: -5, -6, 0, 6 Which pair of numbers has a sum of zero

Answers

Answer:

6 and -6 because the positive 6 equals out the negative 6.

A restaurant lost $305 last week from a lack of customers. This week the restaurant gained $53. How much money in total did they make or lose in the last two weeks combined?​

Answers

Answer:

-252

Step-by-step explanation:

it's just (-305) + 53

Find angle x, and angle y

Answers

Answer:

x=40

y=40

Step-by-step explanation:

hlo there!

as the given is 90 ° in fig;

90+50+x= 180°( sum of angle of traingle)

x=180-140

x=40°

as there is alternate angle.

lets suppose the alternate angle of x is z

z=40°

now'

40 + 100+ y=180°( sum of angleof traingle)

y=40°

hope it helps!

Help me out :,,,,D ples.

Answers

Answer:

l. write each answer by removing bracket and - like |-2| = 2

||.7.true

8.true

9.true

10. false

11. false

12. true

|||.13. 7

14.15

15.8

16.22

17.-8

18.8

19.16

20.555

HOPE IT HELPS U MARK ME AS BRAINLIEST PLEASE

Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?

Answers

Answer:

81 stamps

Step-by-step explanation:

Here we will use the AP formula

We know that

a_n = a + (n - 1)d

a = first term = 5

n = number of terms = 20

d = common difference = 9 - 5 = 4

On putting values

=> a_20 = 5 + (20 - 1)4

=> a_20 = 5 + (19)4

=> a_20 = 5 + 76

=> a_20 = 81

Therefore,

She will have 81 stamps after 20 days

[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]

Here we have,

first term (a) = 5

no. of terms (n) = 20

common difference (d) = 9 - 5 = 4

[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]

Hence, there will be 81 stamps after 20 days.

What is 6 + (4 x 2)=

Answers

Answer: 14

Step-by-step explanation: 4x2 = 8, 8 + 6 = 14

What is the slope of this line

Answers

Answer:

-4/12

Step-by-step explanation:

2 less than the quotient of 56 and 7

Answers

Answer:

54 and 5

Step-by-step explanation:

56-2 is 54

7-5 is 2

have a good day my little friend learning his 1st addition

5 - (x - 2)^2 for x = -1

Answers

Step-by-step explanation:

the answer is 8

5-(-1-2)

5-(-3)

5+3

=8

(v4-4v³-4v²+4)÷(v-1)

Answers

Answer:

Step-by-step explanation:

A film begins at 21 25 and lasts for 100 minutes. At what time will it end? Express your answer using the 24- hour clock.

Answers

Answer:

23 05

Step-by-step explanation:

change 100 minutes to hours ,then add it to the starting time for the film.

Answer:

23 05

Step-by-step explanation:

from 21 25-22 00 35min are passed

and remain With 65min from 100min

from 22 00-23 00 60min are passed

and remain With 5min so then at 23 05 all 100min are passed from 21 25. thanks

The real picture of my previous question is this​

Answers

Answer:

x = 120

Step-by-step explanation:

Assuming you require to find the value of x

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

140 + 150 + 90 + x + 130 + 90 = 720 , that is

x + 600 = 720 ( subtract 600 from both sides )

x = 120

The answer is X=120 :)

Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance. Today, Jennifer alternated walking one lap and running one lap. She made Graph 2 to describe the relationship between time and distance. Select True or False for each statement.

Answers

Answer:

Hey! Your answer to this question is False False, True True, False False!

Step-by-step explanation:

I just did it and got it right :D

Ed receives a tax refund of 37.50. He spends 2/3 of his refund on clothing. He divides the rest among his 5 children. How much money does he give each child?

Answers

Answer:

He gave 2.50$ to each of his children

Step-by-step explanation:

Answer:

Each child got $2.50

The force (F) needed to cause the acceleration (a) of an object mass, m, is given by the equation, F=ma where m is the object's mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object's mass? The unit for this mass is kg.

Answers

Answer: the answer is 4 kg  

because your force was 12

and your accelerate was 3 m/s2

next .... you divide 12/3 and that =4kg

Step-by-step explanation:

[tex]\red{ \boxed{ \blue{ \tt{Help\:Me}}}}[/tex]​

Answers

Answer:

You go to a job and get $352.15 a day. How much would you make in a month?

Answer: 352.15 x 31= 10,916.65

Hope this helps ^^

What are the values of x?

Answers

1) square root 74
2) 8.15
3) 39.2
4) 108.45

Answer:

Pythagorean theorem = [tex]a^2+b^2=c^2[/tex] or [tex]c=\sqrt{a^2+b^2}[/tex]

a & b are the sides

c is hypotenuse

1. [tex]9^2+5^2=c^2[/tex]

[tex]81+25=c^2[/tex]

[tex]106 = c^2[/tex]

[tex]c=\sqrt{106}[/tex]

c = 10.3 cm

And you keep doing that to the other triangles.

2. x = 8.1

3. x = 39.2

4. x = 108.5

Brainly plz :)

what is the slope to the graph below?

Answers

Slope is 3

Y=3x+2.75

Can someone check my answers and tell me if it’s right or not? Thank you so much :)

Answers

Answer:

yes i think u are correct

Step-by-step explanation:

Answer:

some are correct but some are not.

Step-by-step explanation:

You got to pay attention to all the negatives in the equations. Number 3 is incorrect. The reason is  you started the plot at positive 6 not negative 6

2 × 4^5 + 10 ( 5 × 2 ) - 10 ÷ 2 = ​

Answers

Answer:

2143

Step-by-step explanation:

2 × 4^5 + 10 (5 × 2) -10 ÷ 2

= 2 × 4^5 + 10 × 10 (-10) ÷ 2

= 2 × 4^5 + 10 × 10 - 10 ÷ 2

= 2 × 4^5 + 10 × 10 - 5

= 2048 + 100 - 5

= 2148 - 5

= 2143

Answer:

Your answer is 2143

Step-by-step explanation:

2 × 4^5 + 10 × 10 - 10 ÷ 2

*How i got the -5 is becuase 10/2 = 5

= 2 × 4^5 + 10 × 10 - 5

* How i go the 100 is becuase 10 *10 = 100

2048 + 100 - 5

How i go 2148 is becuase 2048+100 = 2148

2148 - 5

Answer = 2143

Gravity Versus Distance
What is the force of gravity on the rocket at the planet's surface?
What is the force of gravity on the rocket at a distance of two units (twice the planet's radius from its center)?
According to the graph, is the relationship between gravity and distance linear or nonlinear? Explain.
In general, how does the force of gravity pulling on the rocket change as the distance between it and the planet increases?
Estimate the force of gravity on the rocket at a distance of 5 units.

Answers

Answer:

How many feet are there in 150 centimeters? *

pls give the steps and the reasons

Answers

Answer:

Of what is there an equation?

Step-by-step explanation:

can someone help me with this question plsss​

Answers

امبيه alef



which grade?

Answer:

74 people. the equation would be x=200(.37)

not too sure about the equation but it is 74 people,

What ratios are equivalent to 1/16

Answers

Answer:

1:6

Step-by-step explanation:

A part-to-whole ratio of 1:6 means that there is 1 of something and the total is 6. It also means that there are 5 of something else. To convert a Part-to-Whole ratio such as 1:6, you replace the colon with a fraction bar to get this answer:

1:6 → 1/6

Kaya started with the number 92. After multiplying by a power of 10, her number increased to 920,000. What power of 10 did Kaya multiply her original number by to get an answer of 920,000? Explain the reason for this solution

Answers

The new number has 4 zeros so the power was 4

Answer: 4

Answer:

4

Step-by-step explanation:

kaya started with 92

then multiplied it by

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

[tex]92 \times {10}^{x} [/tex]

[tex]92 \times {10}^{x} = 920000[/tex]

divide both sides by the coefficient of

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

[tex] {10}^{x} = \frac{920000}{92} [/tex]

[tex] {10}^{x} = 10000[/tex]

[tex] {10}^{x} = {10}^{4} [/tex]

since they both have the same numbers we can cancel the two 10

therefore:

x = 4

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