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kwal0203
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Homework Statement
Estimate to the nearest degree, the angles that a diagonal of a box with dimensions 10cm x 15cm x 25cm makes with the edges of the box.
Homework Equations
[itex]cos\theta =\frac{u\cdot v}{\left \| u \right \|\left \| v \right \|}[/itex]
The Attempt at a Solution
For the angle between the diagonal vector and the edge with the 10cm side:
[itex]u=(10,0,0)[/itex]
[itex]v=(10,15,25)[/itex]
[itex]cos\theta =\frac{(10,0,0)\cdot (10,15,25)}{\sqrt100\sqrt{100+225+625}}[/itex]
[itex]cos\theta =\frac{100}{10\sqrt{950}}[/itex]
[itex]cos\theta =\frac{10}{\sqrt{950}}[/itex]
Theta = ~71 degrees?
thanks, any help appreciated!
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