Question

Someone answer for me please. thank you.

the equation sin(35o) = 12/c can be used to find the length of AB? round to the nearest tenth.

Answer 1

From trigonometry we know this relationship:


`sin\alpha = (O)/(H)`

Being:

O: Opposite side
H: Hypotenuse

From the problem, the trigonometric relationship is given by:


`sin(35\°)= (12)/(c)`

Therefore:


`O=12 \ and \ H=c`

Therefore this equation works for computing the hypotenuse of a right triangle. Thus:


`H=c= (12)/(sin(35\°))=20.92`