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polet [3.4K]
3 years ago
6

3. A tunnel is 300 feet deep and makes an angle of 30° with the ground, as shown below.

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

173.20 ft

Step-by-step explanation:

\tan \: 30 \degree =  \frac{length \: of \: tunnel}{depth \: of \: tunnel}  \\  \\  \frac{1}{ \sqrt{3} }  =  \frac{length \: of \: tunnel}{300}   \\  \\ length \: of \: tunnel  \\  \\ =  \frac{300}{ \sqrt{3} }  \\  \\  =  \frac{300 \sqrt{3} }{3}  \\  \\  = 100 \sqrt{3}  \\  \\  = 100 \times 1.7320 \\  \\  = 173.20 \: ft

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