HDS is a 30-60°-90° triangle and DH = 42 mm. Find SH.

Answer:
48.5mm
Explanation:
Let x represent the value of the length of side SH.
We can find x by taking the sine of angle 60 degrees as shown below;
[tex]\begin{gathered} \sin 60=\frac{42}{x} \\ x\sin 60=42 \\ x=\frac{42}{\sin 60} \\ x=48.5\operatorname{mm} \end{gathered}[/tex]