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3 years ago

6

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

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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F

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