Answer:
0.49 radians or 28.07 degrees
Step-by-step explanation:
Please recall that the definition of the tangent of an angle is "the ratio of the length of the side opposite the angle to the length of the adjacent side, of a right triangle."
Here, opposite side length 8
tan x = ------------------------------------- = ---------
length of adjacent side 15
We use the inverse tangent function to determine the angle x from the given information:
arctan 8/15 = x
Using a calculator, we find that x = 0.49 radians.
The measure of this angle, in degrees, is found by multiplying 0.49 radians by the conversion factor
180 degrees
--------------------
pi radians
which, in this case, works out to 28.07 degrees.
