Solve the trigonometry problem

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Please find this answer

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in this question:

AC is the hypotenuse
scince sin ∅ = 5/13
AC = 13x = 52cm
and CB = 5x
so x = 52/13 = 4
CB = 5x = 20cm
now for AB
there is a Pythagorean triplet 5,12,13
so AB = 12x
AB = 48cm
and tan ∅ = opposite / adjacent = 20/48 = 5/12

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