SOLUTION: The diagram below, not drawn to scale, EFGH is a rectangle. The point D on HG is such that ED=DG= 12 cm and GDF=43° Calculate to one decimal place. A) the length of GF B) the l

Algebra ->  Geometry-proofs -> SOLUTION: The diagram below, not drawn to scale, EFGH is a rectangle. The point D on HG is such that ED=DG= 12 cm and GDF=43° Calculate to one decimal place. A) the length of GF B) the l      Log On


   



Question 974067: The diagram below, not drawn to scale, EFGH is a rectangle. The point D on HG is such that ED=DG= 12 cm and GDF=43° Calculate to one decimal place.
A) the length of GF
B) the legth of HD
C) the size of angle HDE

diagram can be found http://www.cimt.plymouth.ac.uk/mepjamaica/unit34/StudentText.pdf on pg 25

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A) the length of GF
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tan(43) = GF/12
GF = 12*tan(43) =~ 11.19 cm
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B) the legth of HD
EH = FG
EHD is a right triangle, use Pythagoras.
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C) the size of angle HDE
cos(HDE) = HD/12