A pilot needs to know if a plane with clear the tower. The plane will travel 1300 yards before lifting off the ground to travel another 705 yards after which point the plane will be directly over the tower. If the plane had continued on the runway, it is another 700 yards to the control tower, which is 250 feet high.

A Pilot Needs To Know If A Plane With Clear The Tower. The Plane Will Travel 1300 Yards Before Lifting

Answers

Answer 1

Answer:

The statement that best describes how to determine if the plane clears the tower is;

Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height

Step-by-step explanation:

The given parameters are;

The length the plane will travel before lifting = 1300 yards

The distance further the plane will travel after lifting off the ground = 705 yards

The horizontal distance from the point of lifting off the ground to control tower = 700 yards

The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;

The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle

The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle

Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;

h = √(R² - x²)

We have;

R = 705 yards

x = 700 yards

∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281

The height of the control tower, h = 5·√281 yards

1 yard = 3 feet

∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet

Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.


Related Questions

Evaluate the expression when m=8 and n=9.
4n+m


Answers

Answer:

44

Step-by-step explanation:

4(9) + 8  

=36 + 8

=44

Gabi owns one parcel measuring one square mile and another parcel measuring one mile x half a mile. She combined the parcels and sold them for $2.5 million. What price per acre did she receive for the land

Answers

We want to get the price per acre that she receives for the land, we will get that the price per acre is $2,777.8

First, we need to find the total area of the land.

There are two parcels, one with an area of 1 mi^2, and the other with dimensions of one-mile x half a mile, then the area of the other parcel is:

A' = (1 mi)*(0.5 mi) = 0.5 mi^2

The total area is the sum of these two, we get:

1 mi^2 + 0.5 mi^2 = 1.5 mi^2

And notice that we want to get the price per acre, knowing that:

1 mi^2 = 640 acres, then:

1.5 mi^2 = 1.5*(640 acres) = 900 acres.

The price per acre is equal to the quotient between the total price for the area and the number of acres, this gives:

P = ($2,500,000)/(900 acres)  = $2,777.8

So each acre costs $2,777.8

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What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️

Answers

Let's see

[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]

[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]

From both

9x=4x=4/9

(︶^︶)Brainliest for everyone!!!! ohh wait ????

Answers

Answer:

[tex]\frac{81}{256}[/tex]

Step-by-step explanation:

[tex](\frac{3}{4})^4 \\\rule{150}{0.5}\\\\\text{Note the exponent rule: }( \frac{a}{b}) ^c = \frac{a^c}{b^c} \\\rule{150}{0.5}\\\\\frac{3^4}{4^4}\\\\\rightarrow 3^4 = 81\\\rightarrow 4^4 = 256\\\\\boxed{\frac{81}{256}}\\\\\text{The answer is already in it's simplest form.}[/tex]

for a brainlist +10 points please help

Answers

Answer:

C. Two smaller atoms come together to form a larger atom that is a different element.

Explanation:

Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.

What’s the product of 2.6

Answers

Answer:

2×6=12

Step-by-step explanation:

graph [tex]graph y = 1/4x +1[/tex]y= 1/4x +1

Answers

Answer:

Graph below

Step-by-step explanation:

start at (0,1)

up 1

right 4

Help me please i beg you please

Answers

Using Pythagorean theorem

[tex]\\ \sf\longmapsto x^2=26^2-10^2[/tex]

[tex]\\ \sf\longmapsto x^2=676-100[/tex]

[tex]\\ \sf\longmapsto x^2=576[/tex]

[tex]\\ \sf\longmapsto x=24ft[/tex]

For his car, Benny paid $70.96 on speakers and $83.52 on new tires with
wo $100 bills. How much did Benny get in change?

Answers

Answer:

If he pays with 2 Hundred Dollar Bills he will get $45.52 in change.

Explanation:

$70.96 + $83.52 = $154.48

2 Hundred Dollar Bills = $200.00

$200.00 - $154.48

a point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2)=25 is?

Answers

The point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).

What is the equation of the circle with radius r units, centered at (x,y) ?

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

(x-h)^2 + (y-k)^2 = r^2

The given equation is

(x+10)^(2)+(y+1)^(2)=25

Where,

h = - 10

k = -1

r = 5

If x = -6 and y = 2

then the given equation of circle is stidfy the given points.

Hence, the point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).

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find x if 2^x=8^3x-8

Answers

Step-by-step explanation:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

Is this answer right?

Answers

Answer:

Step-by-step explanation:

all angles are congruent:false

B.consecutive angles are congruent:false

corresponding angles are congruent:true.

c.diagonals bisect eachother:true.

d.diagonals bisect opposite angles:false.

List the first six common multiples of 6 and 9

Answers

Answer:

The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )

41 divided by 533 estimate it and its long division and I have to find the R

Answers

Answer:

12 R20

Step-by-step explanation:

changed 41 to 40 and 533 to 500. work is in file above.

What’s the next 3 terms of the sequence -2,8,-32?

Answers

Answer:

Step-by-step explanation:

This is a geometric series.

First term = - 2

Ratio = second term ÷ first term = 8 ÷ (-2) = -4

Next three terms are:

-32 *(-4) = 128

128*(-4) = - 512

-512*(-4) = 2048

Answer:

The next 3 terms would be 128, -512, 2048

Step-by-step explanation:

Since we are dealing with a Geometric Sequence we use this formula [tex]a_{n}=a_{1} *r^{n-1}[/tex]

Since the first term([tex]a_{1}[/tex]) is -2 and for us to find R we have to divide 8 by -2 = -4

So we would rewrite the equations to find the next three terms as

[tex]a_{4}=-2*-4^{4-1}=-2*-4^3=128[/tex]

[tex]a_{5}=-2*-4^{5-1}=-2*-4^4=-512[/tex]

[tex]a_{6}=-2*-4^{6-1}=-2*-4^5=2048[/tex]

Can someone help me please find the perimeter

Answers

Answer:

8x + 9

Step-by-step explanation:

Perimeter is the sum of all sides:

2x + x+8 + 5x+1 = 8x + 9

help me pls with my geometry

Answers

Answer:

answer in pic above

Step-by-step explanation:

did this over thrice before coming to the right answer lol

i hope it helps you xxx

PLEASE HELP ME OUT!

25 cm = ______ mm

15 g = ______ mg

Answers

Answer:

25cm = 250mm

15g = 1500mg

Step-by-step explanation:

cm to mm = multiply by 10

therefore 25 x 10 = 250

g to mg = multiply by 1000

therefore 15 x 1000 = 15000

Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4

Answers

Answer:

A, B, D are correct

Step-by-step explanation:

A. 32 divided by 1 = 32

Works, it is correct

B. 32 divided by 2 = 16

Works, it is correct

C. 32 divided by 3 = 12

Incorrect, 12 x 3 = 36, not 32

D. 32 divided by 8 = 4

Works, it is correct

-Chetan K

A,B, and D are correct 32 divided by 3 is 10.67 so it’s not a whole number. Hopefully I helped plz rate

3g + h = 1
-2g + h= 10
?​

Answers

Answer:

{g,h} = {-9/5,32/5}

Step-by-step explanation:

h = 2g + 10

3g + (2g+10) = 1

[1]    5g = -9

5g = - 9  

g = - 9/5

g = -9/

h = 2g+10

h = 2(-9/5)+10 = 32/5

{g,h} = {-9/5,32/5}

Can someone solve 33 and 34 for me

Answers

Answer:

33. 320 (D)

34. 5 (A)

Step-by-step explanation:

33.

(14+3+3) x (10+3+3)

17+3 x 13+3

17x16

320

34.

P(28)=x+x+(x+4)+(x+4)

28=4x+8

-8       -8

20=4x

/4   /4

5=x

Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?

Answers

Lee would earn 68 dollars if she worked 4 hours
He would earn $68 if he worked fo 4 hours

Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W.

Answers

Answer:

42

Step-by-step explanation:

plz help due soon

Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?​

Answers

Answer:

D

Step-by-step explanation:

6% of 40 is 2.4, 40.00+ 2.40=42.40

Answer:

42.50

Step-by-step explanation:

40X1.06

42.40

What is the amount of discount?
(100 pts)

Answers

[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]

[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]

[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]

[tex]\\ \sf\longmapsto Discount=375/100[/tex]

[tex]\\ \sf\longmapsto Discount=3.75[/tex]

Answer:

discount = $3.75

Step-by-step explanation:

Given:

[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]

Multiply both sides by 100 to eliminate the denominators:

[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]

Divide both sides by 10:

[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]

Carry out the multiplication on the right side:

[tex]\implies \sf discount \times 10=\$37.50[/tex]

Divide both sides by 10:

[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]

[tex]\implies \sf discount=\$3.75[/tex]

A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?


Calculate the bee's unit rate of meters per second.


What is the equation of constant proportionality? (y=kx)

Answers

Answer:

15 seconds

Step-by-step explanation:

I need help

Given f(x)=-x+6 write an equation for f(x-2)

Answers

Answer:

f(x - 2) = - x + 8

Step-by-step explanation:

Substitute x = x - 2 into f(x)

f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8

what is the rate of change of the function ?

Answers

Answer:

Rate Of Change Formula At its simplest, the rate of change of a function over an interval is just the quotient of the change in the output of a function (y) over the difference in the input of the function (x) (change in y/change in x)

Step-by-step explanation:

What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6​

Answers

The scale factor is 6

Answer:

Is 6

Step-by-step explanation:

5X6=30

3X6=18

4X6=24

Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.

Answers

If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67

The given function is:

[tex]g(x)=x^4-3x^3-x[/tex]

The derivative of the function g(x) is calculated below

[tex]g'(x)=4x^3-9x^2[/tex]

The question indicates that g'(x) = 12

This means that we are going to equate the derivative of g(x) gotten above to 12

[tex]4x^3-9x^2=12[/tex]

Solving the cubic equation above

The only real valid value of x is 2.67

Therefore, the value of x such that g′(x)=12 is x = 2.67

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