Respuesta :

Answer:

sin w = 15/17

Step-by-step explanation:

sin w = opp/hyp

opp of W is VX = 15

hyp is the longest = 17

sin w = 15/17

Answer:  15/17

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Explanation:

A drawing may help. See the image below.

Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.

The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".

The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.

The sine of an angle is the ratio of the opposite and hypotenuse

sin(angle) = opposite/hypotenuse

sin(W) = VX/WV

sin(W) = 15/17

Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.

Ver imagen jimthompson5910