A particular airport has beacons on the ground 6 km out from the start of each runway. An airplane is directly over this beacon and is at an angle of elevation from the runway of 8°. Calculate the direct line distance from the airplane to the start of the runway

Answers

Answer 1

Answer:

6.06 km

Step-by-step explanation:

The information given in the question can be represented by the three sides if a right angled triangle.

Let the direct line from the airplane to the start of the runway be represented by x. So that applying the appropriate trigonometric function, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]8^{o}[/tex]  = [tex]\frac{6}{x}[/tex]

0.9903 = [tex]\frac{6}{x}[/tex]

⇒ x = [tex]\frac{6}{0.9903}[/tex]

      = 6.0588

x = 6.06 km

The direct line from the airplane to the stat of the runway is 6.06 km.


Related Questions

Given angle m ROS = 89°, the angle would be classified as:
O Acute
O Right
O Obtuse
O Straight

Answers

Answer:

Step-by-step explanation: Acute

Answer:

Step-by-step explanation:

acute

the value of an autograph of a famous actor increased from $40 to $64 what is the percent of increase please hurry!

Answers

Answer:

62.5%

Step-by-step explanation:

64-40= 24 - this means the increase was more than half the original price.

40/64 = 0.625 * 100= 62.5%

can also be rounded up to 63%

what is 5 dogs + 180 cats?

Answers

Answer:

Step-by-step explanation:

185 dogs and cats

Answer:

185 animals altogether ig?

Step-by-step explanation:

I NEED HELP. PEOPLE KEEP ANSWERING WITHOUT KNOWING THE ANSWER AND IT IS FOR MY GRADE.

Answers

Answer:

Im pretty sure its VA

Step-by-step explanation:

I hope this helps you out!

Most likely VA if not sorry!

0
1
2
3
4
5.
6
I don’t know what I’m doing

Answers

Answer:

me neither (TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)

jeremiah is eating at a restaurant he decides too tip the waiter 18% of his meal. if his meal cost $15.00 how much did he pay in total

Answers

Answer:

$17.70

Step-by-step explanation:

$15.00×18%=$2.70

$15.00+$2.70=$17.70

what is equal to 3/6 (who ever answers first gets to be the brainliest <3) BTW THIS IS MATH!!

Answers

i think the answer could be 1/2

Use Pythagorean Theorem to solve following questions, find your answers in the legend below: *

Answers

1 is 5. It cannot be negative. 2 is 41. And 3 is 27

Someone Help fast please

Answers

Answer:

CD and EF are parallel

Step-by-step explanation:

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Those two lines will always be the same distance apart, and they will never intersect, so therefore they are parallel.

Someone please help?? This is constant of proportionality... I don't get it at all and I need to turn this is ASAP!!!

Answers

Answer:

Step-by-step explanation:

From the given graph the line is straight ,so it means that the relation between x and y is directly proportional

(or) you can also say that at each point the slope of the line is same

slope =y/x ,  slope= 26/2  = 65/2 = 117/9 =13

hence slope is same that's why relation between x and y is direct relation

y∝ x

y=k*x

k=y/x

putt any point one the line to find the value of constant of proportionality,

i putt (2,26)

k=26/2 =13 value of proportionality constantnow to find cost of 14 tickets ,we have  y=13*x    , now putt x=14we will get cost(its on y-axis while ticket is on x-axis)y=13*14y= $182 cost of 14 ticketsso "C" option is correct

Answer:

Step-by-step explanation:

.........

this ones confusing, i wish i could help sorry.

A contractor bought 7.6 ft2 of sheet metal. She has used 3.5 ft2 so far and has ​$123 worth of sheet metal remaining. The equation 7.6x−3.5x=123 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?

Answers

Answer:

Sheet metal remaining = 4.1x

cost per square​ foot of sheet metal = $30

Step-by-step explanation:

Total sheet metal bought = 7.6 ft2

Total sheet metal used = 3.5 ft2

Given equation:

7.6x − 3.5x = 123

Where,

x = cost per square​ foot

7.6x − 3.5x

Sheet metal remaining = 4.1x

7.6x − 3.5x = 123

4.1x = 123

x = 123 / 4.1

x = $30

Cost per square​ foot = $30

ok so what is 100-23

Answers

Answer:

77 lol

Step-by-step explanation:

Can somebody help me with this question. Will mark brainliest.

Answers

Answer:

4ft

Step-by-step explanation:

sorry for my mistake

Answer:

4 ft

Step-by-step explanation:

the ratios are as follows

X/6=50/75

50(6)=X(75)

300=75X

X=4

1. Which of the following IS TRUE about an asymptote lines?

a. They are invisible lines that the graph cannot cross

b. They are always on the x axis and y axis

c. They only touch the function when x = 0

Answers

Answer:

The answer is B They are always on the x axis and y axis

HELP PLEASE WILL GIVE 100 POINTS AND MARK BRAINLEST​

Answers

Answer:

P = -10

Step-by-step explanation:

P = 4 - 2r

P = 4 - 2 (-7)

P = 18

Answer:

P = 18

Step-by-step explanation:

p = 4 - 2r

p = 4 - 2(-7)

p = 4 + 14

p = 18

Therefore, your answer would be P = 18

please look at the attachment below (': i feel so d\/mb right now

Answers

Answer:

probably the bottom left because it would be equal

Step-by-step explanation:

I hope this helps and you are not d.u.m.b, we just have those days sometimes. lol and this isn't really that easy.

Bottom left because it’s equal

If p(x) = 2x - 5 and r(x) = 3x + 4, calculate (pr)(x).
A 6x2 - 7x - 20
B 6x² +7X-20
C 5x - 1
D 6x2 - 20

Answers

Answer:

A) 6 x² - 7x - 20

Step-by-step explanation:

Explanation:-

Given p(x) = 2 x-5 and r (x) = 3 x +4

(pr)(x) = p(x) r(x)

         = (2x -5)( 3 x +4)

        = 2x(3x +4) -5( 3x +4)

       = 6 x² + 8x - 15 x - 20

       =  6 x² - 7x - 20

(pr)(x) = 6 x² - 7x - 20

2. A figure is reflected
from Quadrant II to
Quadrant III.

You are supposed to identify the line of reflection by by writing the x-axis or y-axis

Answers

Answer:

Y-axis

Step-by-step explanation:

Visualize It!

make a sketch of the x-y plane and grid on a piece of paper.

Now fold it so that quadrant II falls on quadrant III.

Does the crease fall along the horizontal (x-axis) or the vertical (y-axis) ??

Also please be sure to like it and thank me sir It would make me happy since i have 28 million help's on my other account.

I need both answers now please and don answer if u don’t know

Answers

Answer:3048.7804878

Step-by-step explanation:

I took the same test p.s. you may need to round.

simplify the expression

b+4b+-9b

Answers

I think it’s -4b? The only way you can simplify is getting the expression

Determine the slope of
the line between each
pair of points.
1. (0, 10) and (3, 12)

Answers

Answer:

(1.5, 11)

Step-by-step explanation:

The slope of the line is 12-10/3-0=2/3 . The slope is 2/3. It is the rise over the run. Hope this helps!( would appreciate brainlist please)

identify the polygon and classify it as regular or irregular



A. quadrilateral; regular

B.quadrilateral; irregular

C.pentagon; regular

D.pentagon;irregular

Answers

Answer:

B. quadrilateral; irregular

Step-by-step explanation:

Quadrilateral because it has 4 sides

Irregular because its angles and sides aren't all equal

Factor the following polynomial completely x2 - 3x - 10

Answers

Answer:

the answer is (x-5) (x+2)

TRUE OR FALSE:

2y + 3 + y + 2 + 4 = 3y + 9

Answers

That is TRUE. If you combine like terms you get:
3y + 9 = 3y + 9
Its true, its combine like term : 2y + y = 3y and 3 + 2 + 4 = 9! Which is 3y + 9!

The roof of a building is 9 m high. A rope is tied from the roof to a peg on the ground 12 m away from the wall. What is the length of the rope?

Answers

Answer:

15 m

Step-by-step explanation:

Height of buiding h= 9m

Lenght from building l= 12m

let the length of the rope be x=???

Applying Pythagoras theorem

x^2=h^2+l^2

x^2= 9^2+12^2

x^2= 81+144

x^2=225

square both sides

x=√225

x=15 m

Hence the length of the rope is 15 m

3x-4=8 what does x represent

Answers

Answer:

The 'x' represents time. Like how many minutes it takes to make something or how many weeks it takes to save up $50

The school that Alberto goes to is selling tickets to a fall musical. On the first day of ticket sales
the school sold 6 senior citizen tickets and 2 child tickets for a total of $96. The school took in
$120 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.

Answers

Answer:

The price of both tickets is $12 each

Step-by-step explanation:

System of Equations

Let's call:

x = price of a senior citizen ticket

y = price of a child ticket.

On the first day of ticket sales, the school sold 6 senior citizen tickets and 2 child tickets for $96. Setting up the first equation:

6x + 2y = 96

Dividing by 2:

3x +  y = 48         [1]

On the second day, the school sold 6 senior citizen tickets and 4 child tickets for $120:

6x + 4y = 120

Dividing by 2:

3x + 2y = 60         [2]

Subtracting [2] and [1]:

2y - y = 60 - 48

y = 12

From [1]:

3x +  12 = 48

3x = 48 - 12 = 36

x = 36/3 = 12

x = 12

The price of both tickets is $12 each

what is the area of the figure below?

Answers

D) 53 inches squared

can u answer question plezz​

Answers

Answer:

20cm square

Step-by-step explanation:

Please help me with this homework

Answers

Both questions are true
Question 5 is true
Question 6 is false
Question 6 5^0=1 so (5^0)^3 is 1^3
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