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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.

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Answer:

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Step-by-step explanation:

-The total portion fed to the dog is 7/10 cup

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-One week has 7 days. we multiply the dry portion per day by the number of days in a week.

Dry= Total -Canned\\\\=\frac{7}{10}-\frac{3}{10}\\\\=0.40 \ cup\\\\Dry \ per \ Week= Dry/ day\times days\\\\=0.40\times 7\\\\=2\frac{4}{5}\  or\  2.8 \ cups

Hence, Erin feed her dog 2 4/5 0r 2.8 cups of dry food

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3 years ago
The endpoints of GH¯¯¯¯¯¯¯¯ are G(9,−6) and H(−1,8). Find the coordinates of the midpoint M. The coordinates of the midpoint M a
jok3333 [9.3K]

Answer:

( 4, 1 )

Step-by-step explanation:

midpoint formula: (x1 + x2/ 2, y1 + y2/ 2)

(9-1/ 2, -6+8/ 2) -> (4,1)

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Step-by-step explanation:

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3:1, 24 gallons blue 8 gallons yellow

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