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The math in this problem is incorrect. In order to calculate the angle MBC, we have to make the following considerations:
*Triangle MBC as all triangles has an inner sum of angles of 180°.
*The line BM is perpendicular to AC, therefore angle CMB is 90°.
From those considerations we can state that the sum of the inner angles of triangle MBC is: theta+90°+alpha(angle BCM) = 180°
To calculate alpha we use the tangent function which is Tan(alpha)= Opposite side (AB)/Adjacent side (BC), which in python would be math.degrees(math.atan(int(AB)/int(BC)))
Then we just have to substitute alpha in our formula for the inner angles and solve for theta:
Theta = 180°-90°-alpha
The problem with the “correct solution” that the site accepts is that when calculating alpha instead of using Tan(alpha)= AB/BC, it uses Tan(alpha)= BC/AB, so we end up calculating angle CAB. By calculating this angle, we are using the upper triangle (ABM), and our final answer is angle ABM, not MBC as the problem indicates.
Find Angle MBC
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The math in this problem is incorrect. In order to calculate the angle MBC, we have to make the following considerations:
*Triangle MBC as all triangles has an inner sum of angles of 180°. *The line BM is perpendicular to AC, therefore angle CMB is 90°.
From those considerations we can state that the sum of the inner angles of triangle MBC is: theta+90°+alpha(angle BCM) = 180° To calculate alpha we use the tangent function which is Tan(alpha)= Opposite side (AB)/Adjacent side (BC), which in python would be math.degrees(math.atan(int(AB)/int(BC)))
Then we just have to substitute alpha in our formula for the inner angles and solve for theta: Theta = 180°-90°-alpha
The problem with the “correct solution” that the site accepts is that when calculating alpha instead of using Tan(alpha)= AB/BC, it uses Tan(alpha)= BC/AB, so we end up calculating angle CAB. By calculating this angle, we are using the upper triangle (ABM), and our final answer is angle ABM, not MBC as the problem indicates.
Yes,this comments is absolutely correxct
Not only does the problem require you to escape a unicode character in stdout, the math is wrong. How is this problem on the site?