Posted by **Chris** on Wednesday, October 3, 2012 at 6:54pm.

If a stake is placed in the ground and is 20cm. high and casts a shadow 12.5 cm. long, what time is it? (The sun rises at 6 a.m. and is overhead at noon.)

- Trigonometry -
**Reiny**, Wednesday, October 3, 2012 at 7:43pm
Major assumption ....

You must be at the equator , or between the two Cancers.

tanØ = 20/12.5 = 1.6

Ø = 57.99 or 58°

The assumption is that the time from 6:00 am to noon, or 6 hours , is proportional to the angle of the sun from 0° to 90°

t/6 = 58/90

t = 6(58/90) = 3.8666..

= 3 hrs and 52 minutes

the time is 9:52 am

## Answer this Question

## Related Questions

- calculus - If the sun rises at 6 AM and is directly overhead at 12 noon, ...
- PreCalc - The sun rises at 6 AM and is directly overhead at noon, estimate the ...
- Trigonometry - Find the angle of elevation of the sun when a tower 100m high ...
- trig - as the sun rises it casts a long shadow over a boy who is leaning next to...
- trig - how high is a tree that casts a 30 ft shadow at the same time a 10 ft ...
- math - At a given time, the height of an object is directly proportional to the ...
- maths - 16. A pole of length 10 m casts a shadow 2 m long on the ground. At the ...
- Trigonometry - The angle of elevation of the sun is 20 degrees. At the same time...
- MATH - GEOMETRY/TRIGONOMETRY - A 6 foot man stands by a 30 foot radio tower and ...
- math - A 3,5 m-long stick casts a shadow that measures 5,2 m on the ground what ...