(07.02 mc)
find the measure of angle x. round your answer to the nearest hundredth. ( type the numerical answer only)

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.

nlgqer

step-by-step

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: