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

Please help me with this word problem, I can't seem to figure it out.

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 7:40pm
Draw 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

## Answer This Question

## Related Questions

- physics - Derek the drunk driver drives his car off the road, onto a gravel ...
- math - A used guitar is on sale for $280. Derek offers the seller 3/4 of the ...
- Algebra Pythagorean Theorem - Can you please help me answer these and explain? ...
- Maths - On Saturday Derek picked pears from 32 trees. His picked average of 17 ...
- Trigonometry - John stands on top of a little lighthouse looking out at a ...
- math - Derek ran 3/8 of a race he had to stop for a break.If the race is 6 miles...
- Math - Derek wants to determine the height of the top of the backboard on the ...
- Math, Analytic Geometry - Derek wants to determine the height of the top of the ...
- trig. - a person standing 100ft. from the base of the tree looks up to the top ...
- Geometry - For each of the past four years, Paulo has grown 2in. every year. He ...

More Related Questions