Given:

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:



Therefore, the scale factor from PQRS to TUVW is
.
Find the attachment below
Answer:
|-3| = 3
|3| = 3
Step-by-step explanation:
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We have to calculate the x- component of vector v = 250 m/s.
α = 30° ( above the x-axis ):
v x = v · cos α
v x = 250 m/s · √3/2 = 250 m/s · 0.866 = 216.5 m/s
Answer:
v x = 216.5 m/s