a 20 foot ladder leans against a building. if the ladder is 8 feet from the building, find to the nearest degree, the measure of the angle that the foot of the ladder makes with the ground

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos theta = 8/20

cos theta = 2/5

Taking the inverse cos of each side

cos^-1 (cos theta) = cos ^-1 ( 2/5)

theta =66.42182152

To the nearest degree

theta = 66 degrees

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:

what are you trying to solve here

step-by-step explanation: