Math miscellaneousHard

Question

In a right angle ᐃABC, ∠A = 90o and sides a, b, c are respectively, 5 cm, 4 cm and 3 cm. If a force F has moments 0, 9 and 16 in N cm. units respectively about vertices A, B and C,then magnitude of F is

Options

A.3
B.4
C.5
D.9

Solution

         
F . 3 sin θ = 9
F . 4 cos θ = 16
⇒ F = 5.

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