If the tangent on the point ( 3 ϕ, 4 tan ϕ ) (which is in first quadrant) of the hyperbola x^2/9-...

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If the tangent on the point ( 3 ϕ, 4 tan ϕ ) (which is in first quadrant) of the hyperbola x^2/9-y^2/16=1 is perpendicular to 3 x+8 y-12=0, then find the value of ϕ is (in degree).

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