Answer:
Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the we can deduce that
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of which is our answer.
<u>Given</u>:
In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.
We need to determine the ratio that represents the sine of ∠W
<u>Ratio of sin of ∠W:</u>
The ratio of sin of ∠W can be determined using the trigonometric ratios.
The ratio of is given by
From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.
Hence, substituting in the above ratio, we get;
Substituting the values, we get;
Thus, the ratio of sine of ∠W is
