The gist of the communicate accessible (sorry, there are too many pages to furnish each and every of the hyperlinks) is that wands help to concentration the magic resident interior the witch or wizard, yet wandless magic continues to be available, quite for extremely gifted human beings like Snape and Dumbledore. some examples ... Apparition Assuming one's Animagus type (or Metamorphpagus) Accio (the Summoning charm) Elves can do magic without utilising wands Lumos
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i) Applying sine law of triangles, b/sin(<B) = a/sin(<A)
==> 9.3/sin(B) = 7.2/sin(35°)
ii) Solving the above, sin(B) = 0.7409
This give <B = 47°48'; as well sin(180 - B) = sin(B);
So another value for <B = 180° - 47°48' = 132°12'
Thus <B = Either 47°48' or 132°12'
Both values of <B are possible.
The gist of the communicate accessible (sorry, there are too many pages to furnish each and every of the hyperlinks) is that wands help to concentration the magic resident interior the witch or wizard, yet wandless magic continues to be available, quite for extremely gifted human beings like Snape and Dumbledore. some examples ... Apparition Assuming one's Animagus type (or Metamorphpagus) Accio (the Summoning charm) Elves can do magic without utilising wands Lumos
One solution
<B =47.8 deg