Question

Solve the right triangle $ABC$ if angle $A$ is $30$, and the hypotenuse is $4$ m.

Answer 1

Using $30-60-90$ degree triangle theorem, the sides are in the ratio $1:2:\sqrt{3}$
Shortest side $=$ $\frac{1}{2}\times$ hypotenuse
Longest side $=$ $\frac{1}{2}\sqrt{3}\times$ hypotenuse
So, the shortest side or adjacent side $60$ degree $=$ $\frac{1}{2}\times 4$ $=2$ m
Longest side $=$ $\frac{1}{2}\times 4\sqrt{3}=2\sqrt{3}$m