Friday

December 19, 2014

December 19, 2014

Posted by **Dan** on Friday, March 23, 2012 at 11:30am.

- calculus -
**Steve**, Friday, March 23, 2012 at 12:08pmLet T be the tree top

Let B be the tree base

Let S be the tip of the shadow

tan(angle BST) = 34/24

angle BST = 54.78°

This is also the angle of the sun from the horizon

54.78/90 = .61

so, the sun has gone .61* 6 hours = 3.66 hrs = 3 hr 40 min, so the time is 9:40 am.

Of course, the shadow is the same length at 2:20 pm, assuming no cloud cover...

**Answer this Question**

**Related Questions**

PreCalc - The sun rises at 6 AM and is directly overhead at noon, estimate the ...

10th grade - A tree casts a 25 foot shadow. At the same time of day, a 6 foot ...

Math 7 - A tree casts a 50 foot shadow. At the same time of day, a 4 foot man ...

geomtry - A tree casts a 25 foot shadow. At the same time of day, a 6 foot man ...

geomtry - A tree casts a 25 foot shadow. At the same time of day, a 6 foot man ...

math - A tree casts a 25 foot shadow. At the same time of day, a 6 foot man ...

math - At a given time, the height of an object is directly proportional to the ...

math - a fence post a 4-foot shadow at the same time that a tree next to it cast...

Trigonometry - If a stake is placed in the ground and is 20cm. high and casts a...

Geometry - A 38 foot tree casts a 16 foot shadow what is the angle of elavation ...