In the figure, pq is parallel to rs. the length of rp is 2 cm; the length of pt is 18 cm; the length of qt is 27 cm. what is the length of sq?

Step 1    

Find the value of TS

we know that

if PQ is parallel to RS. then triangles TRS and TPQ are similar

so

solve for TS

we have

substitute

Step 2

Find the value of SQ

we know that

we have

substitute

therefore

the answer is

the value of SQ is

the answer is 15% decrease

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.