SOLUTION: (no one can still solve this for me) Round off your final answers up to 2 decimal places. Law of Sines 20 pts Problem # 1. A scarecrow was built in the middle of a cornfie

Question 1193318: (no one can still solve this for me)
Round off your final answers up to 2 decimal places.
Law of Sines
20 pts Problem # 1. A scarecrow was built in the middle of a cornfield. A naughty crow and seemingly brave crow landed on top of the scarecrow and upon being seen by the farmer, the crow was chased away. As a result, the scarecrow is slightly tilted toward the sun at an angle of 12° from the vertical and casts a 3-meter shadow. The angle of elevation from the tip of the shadow to the top of the scarecrow is 27°.
• Draw an appropriate diagram for the problem.
• Determine the length of the scarecrow.
• Suppose more crows kept landing on the top of the scarecrow, gradually tilting it further down. Assuming that the angle of elevation from the tip of the shadow to the top of the scarecrow didn't change. What is the angle of tilt of the scarecrow from the vertical if the scarecrow casts a shadow of:
2 meters?
1 meter?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
my solution is shown in the following spreadsheet.

my solutions are:
length of the scarecrow = 1.75 meters.
angle of inclination of the scarecrow equals:
12 degrees when length of the shadow = 3 meters
31.80 degrees when length of the shadow = 2 meters
47.99 degrees when length of the shadow = 1 meter.
check these solutions out and let me know if they agree with what the solution is supposed to be.
if they are correct, and you need further clarification as to how the solution was achieved, then let me know and i'll provide you with further details.
here's my diagram.

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