Question

What the correct answer fast

Answer 1

`s = 5.8`

Explanation:

Given:

∆RST,

m < T = 17°

t = RS = 5

m < S = 20°

s = RT = ?

Apply the Law of Sines to find s

`(s)/(sin(S)) = (t)/(sin(T))`

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

Multiply both sides by sin(20) to make s the subject of formula.

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

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

`s = 5.8` (to nearest tenth)