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Question-35422




Question Number 35422 by ajfour last updated on 18/May/18
Commented by ajfour last updated on 19/May/18
Sphere of radius R touches  plane at B. Line APQ intersects  sphere at P and Q.   minimum angle that line makes  with plane is θ. From this   minimum angle direction line  AB along plane makes an angle φ.  AB= a . Find length PQ in terms  of θ,φ,a, and R.
SphereofradiusRtouchesplaneatB.LineAPQintersectssphereatPandQ.minimumanglethatlinemakeswithplaneisθ.FromthisminimumangledirectionlineABalongplanemakesanangleϕ.AB=a.FindlengthPQintermsofθ,ϕ,a,andR.
Commented by ajfour last updated on 19/May/18
See Q.35430 for solution.
SeeQ.35430forsolution.

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