Question

In ΔSTU, s = 3.4 cm, ∠T=165° and ∠U=13°. Find the length of t, to the nearest 10th of a centimeter.

Answer 1

25.2 cm

Explanation:

`\angle S=180^(\circ)-165^(\circ)-13^(\circ)=2^(\circ) \\ \\ (t)/(\sin T)=(s)/(\sin S) \\ \\ (t)/(\sin 165^(\circ))=(3.4)/(\sin 2^(\circ)) \\ \\ t=(3.4\sin 165^(\circ))/(\sin 2^(\circ)) \\ \\ t \approx 25.2`