Posted by **jen** on Wednesday, February 6, 2013 at 11:35pm.

What is the height of a cliff if at 10 am the shadow is 2 feet long?

- math -
**Steve**, Thursday, February 7, 2013 at 11:45am
If we are to assume that the sun is on the horizon at 6 am, and directly overhead at noon, then at 10 am its angle of elevation is 4/6 * 90° = 60°

So, you have a nice 30-60-90 triangle, with the short leg (the shadow) = 2, so the long leg (the cliff) is 2√3.

Not much of a cliff.

## Answer this Question

## Related Questions

- math - The shadow of a 5-foot tall post is 10 feet long. At the same time a tree...
- trig - To calculate the height of a cliff, a surveyor takes the following ...
- math - Mr Noonans daughter Kira is 5 feet tall. She casts a shadow that measures...
- geometrY - to estimate the height of a tree, Dave stands in the shadow of the ...
- geometrY - See the last picture at the bottom of this web page (for a pic of ...
- math - Don't laugh at me lol...it says Jamal is 5 feet tall. One sunny morning ...
- math - At a given time, the height of an object is directly proportional to the ...
- math - Cara is five feet tall and casts a shadow of eight feet long. At the same...
- Math - If a tree cast a shadow 30 feet long at the same time that a boy 5 feet ...
- cocoa - Julian's shadow is 6 feet long. At the same time a 31 foot tall building...