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Question: What is Sine of an Acute Angle ?

Answer:

The sine of an angle θ (sin θ as it is usually written) can be defined using a right-angled triangle, in which θ is one of the angles as shown, by
sin θ = BC = Length of side opposite to θ
AC length of hypotenuse.

For example, if a ladder of length 5 metres leans against a wall at an angle of 65o
to the horizontal, the height h metres at which it touches the wall is given by h/5 = sin 65o
so h = 5 sin 65o = 5 x 0.906 307 8
= 4.531 538 9
(to calculator accuracy)