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

A.300√3 feet
B.300 feet
C.600 feet
D.100√3 feet

A tunnel is 300 feet deep and makes an angle of 30 with the ground . A.300√3 feet-example-1

1 Answer

1 vote

Answer:


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

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)=(Opposite)/(Hypotenuse)


The length of the opposite side is
300\:feet


We substitute the given values to obtain;



\sin(30\degree)=(300)/(m)



\Rightarrow (1)/(2)=(300)/(m)


We cross multiply to obtain;



m=300*2



m=600\:feet


Therefore the correct answer is C.


User Lorenz Merdian
by
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