An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 640 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower? At the moment the plane passes over the tower, the distance between the person and plane is changing at a rate of ________ft/s

Answers

Answer 1

Answer:

δL/δt = 634,38 ft/s

Step-by-step explanation:

A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write

L ( distance between aircraft and person )

L² = x² + y² or L² = x² + (405)²

Taken partial derivatives with respect to t we get:

2*L*δL/δt = 2*x*δx/t + 0

Then L*δL/δt = x*δx/dt

At the moment of the aircraft passing over the tower

x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²

So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft

Then:

δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s

δL/δt = 634,38 ft/s

Related Questions

Example 3
he two In a class of 60 students, 46 passed Biology
and 42 passed Chemistry. Every student
ariable passed at least one of the two subjects. How
many students passed in both subjects?
Solution
Let U = students in the class
cps

Answers

Answer:

28 students passed in both subjects.

Step-by-step explanation:

We solve this question treating each event as a Venn set.

I am going to say that:

Event A: Passed Biology.

Event B: Passed Chemistry.

46 passed Biology

This means that [tex]A = 46[/tex]

42 passed Chemistry.

This means that [tex]B = 42[/tex]

Every student passed at least one of the two subjects.

This means that [tex]A \cup B = 60[/tex]

How many students passed in both subjects?

This is:

[tex]A \cap B = A + B - A \cup B[/tex]

From the values we have above

[tex]A \cap B = 46 + 42 - 60 = 28[/tex]

28 students passed in both subjects.

A boat travels 176 miles in 13
hours (with a constant speed).
How far can it travel in 22 hours
(with the same speed)?

Answers

Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

can the sides of a right triangle have the lengths 5 15 and 250. explain

Answers

Answer:

yes

Step-by-step explanation:

Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides. Here a is equal to 5 and c is equal to 14, so b2 = 142 – 52 = 171. Therefore b is equal to the square root of 171 or approximately 13.07.

A 6-pack of movie tickets cost $56.94. what is the unit price $__ per ticket

Answers

Answer:

$9.49

Step-by-step explanation:

you take the $56.94 and divide by 6 to get the unit price

What is the common multiple of 2,960 6,400 and 2000 with full process

Answers

Answer:

1184000

Step-by-step explanation:

lcm(2960,6400,2000)

prime factor:

[tex]2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)[/tex]

Take the largest power of each factor:

[tex](2^8)(5^3)(37^1)\\=1184000[/tex]

I’m confused need help please

Answers

Answer: The answer is 8

The answer is 8. Hope this helps!

what is 50 x356 PLZ HELP MY ANSWER IS 178000 AM I RIGHT

Answers

17,800 is the correct answer

For to 30-60-90 triangle below, the length of side AB is 52 cm.
Find the length of CB.

PLZ

Answers

Answer:

Using 60°

Let side CB be x

Cos60= x/52

Cross multiply=

x= 52cos60

x= 26 cm

Please help ASAP!!!

Answers

Answer:

Cry about it wah wah wahhhhhhhh

Step-by-step explanation:

Help me out please??

Answers

The answer to ur question is c

Find the value of the expression 100 – 10p3 when p = 0

Answers

Answer:

Step-by-step explanation:

despacito

Graph the rational function.
f(x)=4x+6/2+2

Answers

Answer:

my answer is 4x+6/2+2 is 10.3221

Answer:

The graph is a line with slope 4 and Y intercept 5.

Step-by-step explanation:

Simplifying gives f(x)=4x+5.

If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
1. 20
2. 22
3. 24
4. 26

Answers

20 I think I did this today

Raoul had a bottle that contains 2.2 liters of sparkling water. He pours 300 milliliters of the water from the bottle into a glass. How much sparkling water is left in the bottle?

Answers

Answer:

1.9 liters

Step-by-step explanation:

2200-300 = 1900

3 ⅕ -⅔ divided by 2 ⅘

Answers

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

[tex]\frac{14}{5} - \frac{2}{3}[/tex] : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

[tex]\frac{32}{14}[/tex] multiplied by [tex]\frac{5}{14}[/tex]

thus, answer is 160/196

PLEASE HELP IMAGE ATTACHED⚠️⚠️⚠️⚠️⚠️

Answers

Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

2x+5y=50

Solve for x and then solve for y

Answers

Answer:

x = 25 - 5y/2

y = 10 - 2x/5

HELP FIND THE VOLUME
ROUND TO THE NEAREST HUNDRETH
SHOW WORK PLEASE

WILL GIVE BRAINLIEST

Answers

5. Volume of sphere = 4/3 x pi xr ^3

Volume = 4/3 x 3.14 x 2^3 = 33.49 cubic feet.

6 . Volume of cylinder = pi x r^2 x height

Volume = 3.14 x 2^2 x 3 = 37.68 cubic meters

1/6 x 1/6 whats the answer

Answers

Answer:

1/36

Step-by-step explanation:

Put the following equation in Standard Form:
(1/2)x - 4 = (2/3)y

Answers

Answer:x=4/3y+8

Step-by-step explanation:

Step 1: Add 4 to both sides.

Step 2: Divide both sides by 1/2.

Answer:

3x-4y =24

Step-by-step explanation:

hope this helped xoxo

use the gcf to rewrite the expression 20r+16z

Answers

Answer:

20r + 162= 4(5r + 4z

Hope this helps and is right.

Which of the values in the set (2, 3, 4, 5) is a solution to the equation 2x + 4 = 10?

Answers

Answer:

Step-by-step explanation:

2x+4=10

2(3)+4=10 2*3 = 6

6+4=10

10 = 10

Answer is 3 because 2 times 3 is 6 and + 4 is 10

ILL GIVE BRAINIEST ANSWER IM IN A RUSH!!!!!PLEASE AND THANK YOU!

Answers

Answer:

I believe the answer is $52.46

Hope this helps :)

10= p/10 what does p equals? WILL MARK BRAINIEST

Answers

Answer:

p=100

hope this helps

p = 100, hope it helps

Answer the statistical measures and create a box and whiskers plot for the following set of data.
4, 5, 6, 6, 6, 8, 9, 9, 9, 11, 11, 12, 12, 14, 14
4,5,6,6,6,8,9,9,9,11,11,12,12,14,14

Answers

Answer:

Step-by-step explanation:

Your answer should be written in paragraph/essay format.

Any sources used should be cited at the bottom of your paper.

All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.

If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.

two numbers with a total between 300 and 400

Answers

234 abd 127
It equals 361
If we add together different numbers lime 234 and 184 it would make 418 and thats too high.
Hope this helps:)

If you bought something in Texas for $52.00, you would be charged $3.25 in state sales tax. What is the state sales tax rate in Texas? Round your answer to the nearest hundredth of a percent

Answers

Answer:6.25%

Step-by-step explanation:

3.25 / 52 = 0.0625

Which rectangle has an area of 40 square units

Answers

Answer:

The First square has an area of 40 square units

Use the Distributive Property to simplify this expression:

7 - 3 (2x + 3)

X=

Answers

Answer:

8x+12

Step-by-step explanation:

A microwave is placed on top of a stand. The stand is 3 feet 9 inches tall, and the microwave is 3 feet 11 inches tall. Together, how tall are they?
Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

3+3= 6ft
11+9= 20 inches
20-12= 8
So 7ft 8 inches tall together

Other Questions

What name is given to the Supreme Courts power to declare a law unconstitutional? A bicycle tire makes 40 full revolutions while traveling where Scott is standing to where Steve is standing. If a tire has a diameter of 20 inches what is the approximate distance between where Steve is standing? using the data you collected , hypothesize what a cladogram would look like for the organisma in Data table 1, assuming the trout is on the first and lowest branch. benny sold half of his comic books and then bought 6 more. he now has 14. how many did he begin with? Give a reason for each of the following laboratory practices:I. KMnO4 solution is not acidified with HNO3 before titration II.FeSO4 solution is usually prepared fresh when needed III. Alkali are not stored in glass stoped reagent bottles How do they "check the power of the president? Given the sequence: 8, 4, 0, -4,-8, -12, ... Journal writing: Do you believe that total equality is possible, or would human nature assure that some people would eventually dominate others? Can someone please help me I dont understand this A man is parasailing on a lake. The rope he is holding is 150 feet long and he is 45 feet above the water. What is the horizontal distance between the man and the boat? Round your answer to the nearest tenth. How many moles of H2O(I) are formed from 3.85 mol of propane? What effect did the Black Death have on Jewish people in Europe?A. They gained wealth because they could demand higher wages.B. They were accused of spreading the disease, since they did not suffer from it.C. They were blamed for the disease and often punished or killed. Which portion of the Fourteenth Amendment deals with citizenship? A. first clause B. third clause C. second clause D. forth clause In Stanzas four and five of caged birds contrast the birds again. How does she compare them this time in terms of what they do and think about? Write 2-3 long sentences. Complete this sentence with the correct adjective. "Nick has ______________ homework to do than Chris." Need help will mark brainliest!! Why would a temperature increase of only a few degrees be so damaging to the tundra ecosystem? (Select all that apply.)Plants and animals from colder ecosystems would begin to move into the tundra ecosystem.Producers that grow best in colder temperatures would be less available to consumers that eat them.Permafrost would melt which would cause a release of huge amounts of methane gas.The active soil will freeze up because it is well insulated, and this would cause plants to die. Which sentences correctly use parentheses? Select two options. We went to the state fair (held in the state capital) for the first time this year. For my birthday, my parents got me tickets to Hamilton (my favorite musical!). My sister has homework for three classes tonight (math, English, and biology). The student body voted to select (the person) who would get the Best Teacher award. (When he made the hot chocolate) my brother left out the most important ingredient. define specialization in animals cells The graphs below have the same shape. What is the equation of the blue graph? (apologies for bad quality)