Question

Please give me correct answer and fast answer it if know answer only

Answer 1

Approximatley 5.8 units.

Explanation:

We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:

`(\sin(A))/(a)=(\sin(B))/(b) =(\sin(C))/(c)`

Replacing them with the respective variables, we have:

`(\sin(S))/(s) =(\sin(T))/(t) =(\sin(R))/(r)`

Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for t. Ignore the third term:

`(\sin(20))/(s)=(\\sin(17))/(5)`

Solve for s, the unknown side. Cross multiply:

`(\sin(20))/(s)=(\sin(17))/(5)\\5\sin(20)=s\sin(17)\\s=(5\sin(20))/(\sin(17)) \\s\approx5.8491\approx5.8`