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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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Lana71 [14]
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3 0
3 years ago
given that (y+2) (y+3) and (2y^2+1) are consecutive terms of an arithmetic progression, find the possible value of y​
mafiozo [28]

Answer:

<em>-3/2 and 1</em>

Step-by-step explanation:

Given the  arithmetic sequence  (y+2) (y+3) and (2y²+1), the common difference is gotten by taking the difference in their terms. For example if we have 3 terms T1, T2, T3... the common difference d = T2-T1 = T3-T2

From the  sequence given;

T1 = y+2, T2 = y+3 and T3 = 2y²+1

d = y+3-(y+2) = 2y²+1- (y+3)

open the parenthesis

y+3-y-2 = 2y²+1- y-3

1 = 2y²+1- y-3

1 = 2y²- y-2

2y²- y-2-1 = 0

2y²- y-3 =0

Factorize the resulting expression

2y²- y-3 =0

2y²- 2y+3y-3 =0

2y(y-1)+3(y-1) = 0

(2y+3)(y-1) = 0

2y+3 = 0 and y-1 = 0

2y = -3 and y =1

y = -3/2 and 1

<em>Hence the possible values of y are -3/2 and 1</em>

8 0
3 years ago
Can someone help me with this math? Please I'm desperate. ​
Ronch [10]

Answer:

It is pi over nine, the one that your cursor is on. Forgive me if I am wrong

Step-by-step explanation:

5 0
3 years ago
0.8b= -1.12 what is b
Sunny_sXe [5.5K]
B=-1.4 because -1.4•.8=-1.12
6 0
3 years ago
360 kilometers is 24% of x kilometers its for the 14 points
ch4aika [34]
360=24%0f x
360=24/100*x
360*100=24x
36000/24=x
therefore, x=1500......
4 0
3 years ago
Read 2 more answers
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