a construction worker needs to put a rectangular window in the side of a building. he knows from measuring that the top and bott
2 answers:
Width of the rectangular window = 5 feet
Length of the rectangular window = 12 feet.
Length of one of the diagonals is = 13 feet
As it is a rectangle, both the diagonals are equal, so other one will also be 13 feet. Or we can solve it by using Pythagoras theorem.
Let the supposed diagonal be = d
d=13
Hence, the length of the diagonal will be 13 feet.
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It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
