SOLUTION: I need help with a word problem, please! I just can't seem to get the hang of how to do this problem, it seems to be too wordy.
A pole 80 feet tall is situated at the bottom of
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-> SOLUTION: I need help with a word problem, please! I just can't seem to get the hang of how to do this problem, it seems to be too wordy.
A pole 80 feet tall is situated at the bottom of
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Question 378725: I need help with a word problem, please! I just can't seem to get the hang of how to do this problem, it seems to be too wordy.
A pole 80 feet tall is situated at the bottom of a hill that slopes up at an angle of 12.0 degrees. A guy wire from the top of the pole to the hillside forms an angle of 35 degrees with the top of the pole. Find the distance from the base of the pole to the guy wire's point of attachment.
Thank you so much! Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! picture the bottom of the pole at the origin (0,0)
with the pole going up the y-axis , and the top at (0,80)
the equation of the hillside is ___ y = [sin(12º)]x
the equation of the guy wire is ___ y = [sin(-55º)]x + 80
solve for x at the intersection
substitute to find y at the intersection
use the distance formula (from the origin) to find the solution
