Thursday

August 28, 2014

August 28, 2014

Posted by **Gaby** on Thursday, August 16, 2012 at 5:55pm.

Both Derek and Sam are 5ft 10in tall. Derek looks at a 10ft basketball goal with an angle of elevation of 29 degrees, and Sam looks at the goal with an angle of elevation of 43 degrees. If Sam is directly in front of derek, how far apart are the boys standing?

- Pre-Calc -
**Reiny**, Thursday, August 16, 2012 at 7:40pmDraw a side view of the situation, then the basket is 50 inches above the height of the the eyes of the two boys.

distance of derek to point below the basketball is x

of Sam to a point below the basketball is y

tan29 = 50/x ---> x = 50/tan29

tan 43 = 50/y --->y = 50/tan43

distance between the boys = x-y

= 50/tan29- 50/tan43

= 36.583 inches

= or 3.05 ft

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