Step-by-step explanation:
Let alpha be the unknown angle. We can set up our sine law as follows:
[tex] \frac{ \sin( \alpha ) }{5 \: m} = \frac{ \sin(42) }{3.6 \: m } [/tex]
or
[tex] \sin( \alpha ) = \frac{5 \: m}{3.6 \: m} \times \sin(42) = 0.929[/tex]
Solving for alpha,
[tex] \alpha = arcsin(0.929) = 68 \: degrees[/tex]
