SOLUTION: This is Applications of Trigonometry, that involves the law of sines. I can't figure out the diagram. After that I would know what to do.
A huge mound of dirt is near a construc
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-> SOLUTION: This is Applications of Trigonometry, that involves the law of sines. I can't figure out the diagram. After that I would know what to do.
A huge mound of dirt is near a construc
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Question 957691: This is Applications of Trigonometry, that involves the law of sines. I can't figure out the diagram. After that I would know what to do.
A huge mound of dirt is near a construction site. Andrew wants to find out how high the mound is. He measures the angle to the top of the mound to be 57 degrees. Then he walks 8 feet away from the base of the mound and measures the angle to the top of the mound again to be 35 degrees. To the nearest tenth of a foot, what is the height of the mound? Answer by Theo(13342) (Show Source):
the height of your mound is h.
the distance between the center of the mound and the 57 degree angle is x.
the distance between the center of the mound and the 35 degree angle is x + 8.
tan(57) = h/x
tan(35) = h/(x+8)
solve for x in these equations to get:
x = h / tan(57)
x = h / tan(35) - 8
replace x with h / tan(57) in the second equation to get:
h / tan(57) = h / tan(35) - 8
solve for h in this equation to get h =
i'm assuming you know how to solve for h in that equation.
if you don't, let me know and i'll step you through it.
the equation of h = gets you h = 10.27299966.
now that you know h, you can solve for x.
tan(57) = h/x is the equation you start with.
solve for x in this equation to get x = h / tan(57).
use the value of h you just solved for to get x = 10.27299966 / tan(57) which results in x = 6.671363981.
you can now confirm that your answer for h is correct.
