Yet more Trig. (Mine shaft angle of inclination.)

Thread starter Medgirl314
Start date Dec 20, 2013
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Angle Angle of inclination Shaft Trig

AI Thread Summary

The problem involves calculating the angle of inclination for a mine shaft that is 320 meters long and descends 74 meters. The relevant equation used is the sine function, where the opposite side is the vertical descent of 74 meters and the hypotenuse is the shaft length. An attempt at the solution suggests using inverse sine, but there is a noted typo regarding the value used in the calculation. The final angle of inclination is confirmed to be approximately 13.37 degrees, indicating the initial calculation was correct despite the error. The discussion highlights the importance of accuracy in mathematical problems.

Dec 20, 2013

Medgirl314

Homework Statement

A mine shaft is 320 m in length and descends 74 meters. Find the angle of inclination.

Homework Equations

sin=opp/adj

The Attempt at a Solution

inverse sine=42/320
inverse sine*.231=13.37 degrees.

The answer seems conceivable.

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Dec 20, 2013

haruspex

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I take it the 42 is a typo. The answer looks right.

Dec 20, 2013

Medgirl314

Yup. Oops! Thank you!

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