Question about Casio FX-115ES Scientific Calculator

# How much will be height from one point to other for 14.4 mts with

Calculating roof height from one end to other for 14.4 meters length with 3 degrees pitch

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• gilljasdip May 09, 2010

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• Casio Master

I am not exactly sure what the 14.4 m distance represents: The horizontal part or the inclined one.

A. If the 14.4m is the length of the horizontal leg, then the height is given by tan(3 deg)=h/14.4m or h=14.4m*tan(3 deg) =0.75467 m.

B. However if 14.4 m is the length of the inclined part (the hypotenuse) of the triangle, then the height is given by
sin(3 deg)= h/14.4m or h=14.4 m *sin(3 deg)= 0.75363 m

As you can see, the values are approximately equal, because for angles less than 10 deg, the sine and tangent are approximately equal.

I am no construction engineer, but it seems to me that a 3 deg pitch in not much of an inclination. Maybe you meant 30 degree pitch.

If that be the case, the calculations are performed the same way as above: Just substitute 30 deg for 3 deg.

Posted on May 08, 2010

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