Question 451896: The bases in a baseball diamond are 90 ft apart. A player picks up a ground ball 11 ft from third base, along the line from second base to third base. Determine the angle that is formed between first base, the player's present position, and home base.
I'm not sure as to where to start with this question. Please clarify by showing all steps.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The bases in a baseball diamond are 90 ft apart.
A player picks up a ground ball 11 ft from third base, along the line from second base to third base.
Determine the angle that is formed between first base, the player's present position, and home base.
:
We can solve this by using the right triangle formed by lines from:
1st base to the player,
a line from the player to 2nd base, (90-11 = 79 ft)
the line from 2nd base back to 1st base, (90 ft)
:
Find the angle at 1st base (A) using the tangent
Tan(A) = 
A = 41.276 degrees
:
Find the angle formed by home plate, 1st base and the player
90 - 41.276 = 48.724 degrees
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