Hey,(adsbygoogle = window.adsbygoogle || []).push({});

I have no idea where to start, for this question. I know that I will probably have to use vector and scalar product and use the trig identity tan^2(theta)=sec^2(theta)-1 - and of course partial derivatives

Question:

In order to determine the angle theta which a sloping plane ceiling makes with the horizontal floor, an equilateral traingle of side-length l is drawn on the floor and the height of the ceiling above the three vertices is measured to be a,b and c. Show that:

tan^2(theta) = 4(a^2 + b^2 + c^2 - ab -bc - ac)/3t^2

Thanks in advance for anyone's help!

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Application of partial derivatives

Loading...

Similar Threads for Application partial derivatives | Date |
---|---|

I Applications needing fast numerical conformal maps | Sep 15, 2016 |

Adams-Bashforth Application | Apr 26, 2014 |

Physical Applications of the Bernoulli Diff Eq | Jan 4, 2013 |

Practical application of partial,simple differential equation | Apr 30, 2005 |

**Physics Forums - The Fusion of Science and Community**