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Mathematics 13 Online
OpenStudy (anonymous):

A pocket of matrix opal is known to be 24 meters beneath point A on Alan Ranch. A mining company has acquired rights to mine beneath Alan Ranch, but not the right to bring equipment onto the property. So the mining company cannot dig straight down. Brian Ranch has given permission to dig on its property at point B, 8 meters from point A. At what angle to the level ground must the mining crew dig to reach the opal? What distance must they dig?

OpenStudy (anonymous):

OpenStudy (anonymous):

http://www.twiddla.com/527982

OpenStudy (anonymous):

use this link because that would be more easy for me to see

OpenStudy (anonymous):

\[\tan \theta=\frac{24}{8}=3\implies \theta=\tan^{-1} (3)\approx71.6\]

OpenStudy (anonymous):

At what angle to the level ground must the mining crew dig to reach the opal? What distance must they dig?

OpenStudy (anonymous):

Sorry, didn't make that clear, angle: 71.6\(^\circ\) Distance: \[\sqrt{8^2+24^2}\approx25.3m\]

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