SOLUTION: A corner triangular lot located at an intersection of a street is to be fully fenced by its owner.
The sides adjacent to the street have lengths 125 meters and 140 meters respecti
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The sides adjacent to the street have lengths 125 meters and 140 meters respecti
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Question 1170898: A corner triangular lot located at an intersection of a street is to be fully fenced by its owner.
The sides adjacent to the street have lengths 125 meters and 140 meters respectively. The
angle formed by the sides of the street is 112°. If the fencing material needed costs Php 270 per meter, how much will the owner spend to
fence the entire lot? At what angles must the fencing be made from each corner of the lot? What is the total lot area of the property? Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
A corner triangular lot located at an intersection of streets is to be fully fenced by its owner.
The sides adjacent to the streets have lengths 125 meters and 140 meters respectively. The
angle formed by the sides of the street is 112°.
(a) If the fencing material needed costs Php 270 per meter, how much will the owner spend to
fence the entire lot?
(b) At what angles must the fencing be made from each corner of the lot?
(c) What is the total lot area of the property?
~~~~~~~~~~~~~
(a) to find the perimeter, the major step and the first step is to find the third side of the triangle.
For it, use the cosine law.
(b) 112 degrees.
(c) to find the area of the triangle, use the formula
area =
where "a" and "b" are the GIVEN lengths of the sides and is the given angle between them.
