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In ABCD, the measure of ZD=90°, CB = 37, BD = 12, and DC = 35. What is the valueof the sine of ZB to the nearest hundredth?

In ABCD The Measure Of ZD90 CB 37 BD 12 And DC 35 What Is The Valueof The Sine Of ZB To The Nearest Hundredth class=

Sagot :

First we need to draw the triangle:

now that we have the triangle we have to remember that the sine function is defined as:

[tex]\sin \theta=\frac{\text{opp}}{\text{hyp}}[/tex]

Then, in this case we have:

[tex]\begin{gathered} \sin B=\frac{35}{37} \\ \sin B=0.95 \end{gathered}[/tex]

Therefore the sine of B is 0.95 to nearest hundreth

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