Posted by **Sandra** on Sunday, July 19, 2009 at 3:15pm.

Solve problem.

Telephoto lens. find

the image distance i for an object that is 2,000,000 mm from

a 250-mm telephoto lens.

tel formula is 1/f=1/o + 1/i

1/250=1/2,000,000 + 1/i

5i(1/250)=(1/2,000,000 + 1/i)5i

1/50i = 5i/400,000i + 5i/5i

1/10i = 5i/80,000i + 5i/5i

I=8,000

Is this right?

- algebra -
**Damon**, Sunday, July 19, 2009 at 3:53pm
1/250=1/2,000,000 + 1/i agree

I like powers of ten

10^-2 / 2.5 = 10^-6 / 2 +1/i

(2/2.5)10-2 = 10^-6 + 2/i

(2/2.5) 10^4 = 1 + 2*10^6 / i

8*10^3 = 1 + 2*10^6/i

8000 i = i + 2*10^6

7999 i = 2*10^6

i = 2,000,000/7999

i = 250 mm

In other words the object is effectively at infinity and its image is effectively at the focal point.

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