Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales
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Recall the double angle identity:
With measuring between 0º and 90º, we know
. So from the Pythagorean identity, we get
Then
Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
