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Lena [83]
3 years ago
5

A tunnel is 300 feet deep and makes an angle of 30 with the ground .

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

\boxed{C.\:\: 600\:feet}

Step-by-step explanation:


The tunnel, the ground and the depth of the tunnel form a right angle triangle.

The length of the tunnel is the hypotenuse of the right triangle that has been formed.


Let the length of the tunnel be m\: feet.


Using the sine ratio, we obtain;


\sin(30\degree)=\frac{Opposite}{Hypotenuse}


The length of the opposite side is 300\:feet


We substitute the given values to obtain;


\sin(30\degree)=\frac{300}{m}


\Rightarrow \frac{1}{2}=\frac{300}{m}


We cross multiply to obtain;


m=300\times2


m=600\:feet


Therefore the correct answer is C.


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