What is the length of line segment rs? use the law of sines to find the answer. round to the nearest tenth.

see the attached figure to better understand the problem

we know that

the law of sines states that

in this problem we have

step 1

find the measure of angle s

applying the law of sines

substitute the values

step 2

find the measure of angle q

we know that

the sum of the internal angles of a triangle is equal to degrees

solve for q

substitute

step 3

find the measure of line segment rs

applying the law of sines

substitute

therefore

the answer is

the length of line segment rs is

answer: f = 32.2m

step-by-step explanation: that is the answer