image = 27° and z = 19 cm, what is the value of y to the nearest tenth of a centimeter?

 

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2 Answers

No picture provided so assume right triangle.

If z=hypotenuse=19cm, y=19sin27=8.6cm or y=19cos27=16.9cm.

If z=19cm as one leg, y is either the other leg or the hypotenuse.

So y=19tan27=9.7cm or 19tan63=37.3cm for y and z being legs.

Or y=19/sin27=41.9cm or y=19/cos27=21.3cm if y is the hypotenuse.

There are 3 possible positions for z and for each of these there are two possible positions for y, hence 6 possible solutions.

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