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2 years ago

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

Mathematics

1 answer:

Goshia [24]2 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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