Question

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

30°
300 feet
Tunne
How long is the tunnel?

Answer 1

173.20 ft

Explanation:

`\tan \: 30 \degree = (length \: of \: tunnel)/(depth \: of \: tunnel) \\ \\ (1)/( √(3) ) = (length \: of \: tunnel)/(300) \\ \\ length \: of \: tunnel \\ \\ = (300)/( √(3) ) \\ \\ = (300 √(3) )/(3) \\ \\ = 100 √(3) \\ \\ = 100 * 1.7320 \\ \\ = 173.20 \: ft`