Video Transcript
Find, to the nearest two
decimal places, the slope of the line that makes a positive angle of 60 degrees
with the positive direction of the 𝑥 axis.
We can begin this problem by
visualizing a line that makes an angle of 60 degrees with the positive direction
of the 𝑥-axis. In order to answer this
problem, we will also need to remember that the slope of a straight line 𝑚 is
equal to the tangent of the positive angle made between the straight line and
the positive direction of the 𝑥-axis. In this question, that angle
would be 60 degrees. So we would have that 𝑚 is
equal to tan of 60 degrees. tan of 60 is equal to root
three, but as a decimal it would be 1.732 and so on. Rounded to the nearest two
decimal places then, we can say that the slope of the line is 1.73.
