1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kisachek [45]
3 years ago
13

Katoomba Scenic Railway in Australia is the steepest railway in the world. The railway makes an angle of about 52 degrees with t

he ground. The railway extends horizontally about 458 feet. What is the height of the railway? Round your answer to the nearest foot.
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

The height of the railway = 361 feet

Step-by-step explanation:

This question can be solved by applying the required trigonometric function. Let the height of the railway be represented by h.

Sin θ = \frac{opposite}{hypotenuse}

Sin 52 = \frac{h}{458}

h = Sin 52 x 458

  = 0.788 x 458

  = 360.904

h = 361

So that, the railway is 361 feet high.

You might be interested in
At sunset the temperature was 4 dgrees. the next morning at sunset it was -7 degrees. what is the difference betweeen these temp
DedPeter [7]

The difference between these temperatures for the sunset is found as 11 degrees.

<h3>What is temperature difference?</h3>

In science, the term Delta T (ΔT) refers to the temperature between two measuring points. The temperature varies according to time and/or location.

Some key features regarding the temperature difference are-

  • Merus, for example, uses it to assess the effectiveness of such a heat exchanger.
  • Or to evaluate the effectiveness of a heating or cooling system.
  • A fourth letter of a Greek alphabet is, (Δ). Whereas is the capital letter symbol and the lower case letter.
  • The sign is also used in mathematics. Describes the "difference" between any two changeable quantities. T is a value in a process that represents a difference between two observed temperatures.

Now, according to the question;

Let the initial temperature be 'T' = 4 degrees.

Let the final temperature be 't' = -7 degrees.

Therefore, the temperature difference is;

ΔT =  T - t

     = 4 - (-7)

     = 4 + 7

ΔT = 11

Therefore, the difference between these temperatures is 11 degrees.

To know more about the temperature difference, here

brainly.com/question/24746268

#SPJ4

8 0
1 year ago
Tickets to the school play are $5.00 for adults and $3.50 for students. If the total value of all the tickets sold was $2517.50
Irina-Kira [14]
x-\ adults\\&#10;y-\ students\\\\  \left \{ {{5x+3.50y=2517.5} \atop {x+100=y}} \right.\\\\&#10;5x+3.5(x+100)=2517.5\\\\&#10;5x+3.5x+350=2517.5\ \ \ | subtract\ 350\\\\&#10;8.5x= 2167,5\ \ \ | divide\ by\ 8.5\\\\&#10;x=255\\\\&#10;y=355\\\\&#10;There\ were\ 355\ student\ tickets\ and\ 255\ adult\ tickets.
6 0
3 years ago
Everything was marked down 30%. The oringinal price of a manatee hat was $18. What was the clearence price
valentinak56 [21]
.3 * 18 = 5.4. 18-5.4 = 12.6$

Or

.7 * 18 = 12.6$
5 0
3 years ago
Michael has a 3 -5 9 3 and -6 if he picks up an 8 which card must he get discard to get close to zero
zzz [600]
He must replace the 8
4 0
3 years ago
Please help me with this question I will give brainliest
r-ruslan [8.4K]

Answer:

$13.77

Step-by-step explanation:

To find what one yard would cost you would take the price and divide it by the number of yards. In this case, 1 yard happens to cost $4.59. You then multiply 4.59 times 3 to get 13.77

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the particular solution to the differential equation
    5·1 answer
  • Tim count his friends fingers by fives. he counts the fingers on six hands. what number does he say?
    7·1 answer
  • Simplify:(4x2 - 2x) - (-5x2 - 8x)
    8·2 answers
  • A popular computer card game keeps track of the number of games played and the number of games won on that computer. The cards a
    8·1 answer
  • What are 10 duties of a police without coping and pasting
    7·1 answer
  • What is the slope of the line?
    9·1 answer
  • How do you find area of a circle
    14·1 answer
  • Solve for x. x+(−5.3)=−3.86
    13·1 answer
  • Jasmine unfolded a cardboard box. The figure of the unfolded box is shown below:
    13·1 answer
  • Solve. -32 - (-5) A. 37 B. 27 C. -27 D. -35
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!