SOLUTION: The lines y=2x+4 and x+y=13 make angles of a^o and b^o with the positive direction of the x-axis, as shown in the diagram.
(a)find the values of and b
(b)hence find he acute
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-> SOLUTION: The lines y=2x+4 and x+y=13 make angles of a^o and b^o with the positive direction of the x-axis, as shown in the diagram.
(a)find the values of and b
(b)hence find he acute
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Question 1107297: The lines y=2x+4 and x+y=13 make angles of a^o and b^o with the positive direction of the x-axis, as shown in the diagram.
(a)find the values of and b
(b)hence find he acute angle between the two lines
You can put this solution on YOUR website! slope of 2 has a tangent of 2 and an angle of 63.44 deg
slope of -1 has an angle of 45 degrees. the acute angle between them is 71.56 degrees. ANSWER
Can check by law of cosines if one wants to spend more time
The sides are 15 along the axis
The point of intersection is at (3, 10)
the length of the side on the left of the graph is sqrt (125) and length of side on right side is sqrt (200)
c^2=a^2+b^2-2ab cos C
225=125+200-2(25000) cos C
-100=-316.22 cos C
cos C=0.3162
C=71.56 degrees
