It depends on which angle is labelled M.
m
7
143
30 A+
49 degrees
m
7
143
If angle 1 and angle 3 are complementary, their measures add up to 90 degrees. Assuming angle 4 is part of a linear pair with angle 2 (meaning they are supplementary), we have m angle 2 + m angle 4 = 180 degrees. Given that m angle 4 is 39 degrees, we can find m angle 2 by solving: m angle 2 + 39 = 180, which gives m angle 2 = 141 degrees.
30 A+
Use a protractor.
50 Degrees
49 degrees
The angle of elevation of the sun can be determined using the tangent function in trigonometry. Specifically, if the height of the flagpole is ( M ) and the length of the shadow is ( m ), the angle of elevation ( \theta ) can be calculated using the formula ( \tan(\theta) = \frac{M}{m} ). To find the angle, use ( \theta = \arctan\left(\frac{M}{m}\right) ). This angle represents how high the sun is in the sky relative to the horizontal ground.
180
A central angle of 1 radian is the angle that subtends an arc equal in length to the radius. If diameter = 5 m, then radius = 2.5 m. 2.5 m --> 1 radian 6 m is subtended by (6 / 2.5) = 2.4 radians.
To find angle M in triangle MNO, we can use the Law of Cosines. Given side lengths m = 5.6 inches, n = 9.8 inches, and angle O = 95 degrees, we can calculate the length of side o using the formula: ( o^2 = m^2 + n^2 - 2mn \cdot \cos(O) ). Once we have side o, we can apply the Law of Sines to find angle M: ( \frac{m}{\sin(M)} = \frac{o}{\sin(O)} ). After performing these calculations, angle M is approximately 34.2 degrees.