shown. A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees. What is the value of x, rounded to the nearest degree? x ≈ ° According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?

Part A

71°

Part B

The ladder is been used safely

Step-by-step explanation:

Part A

We solve the above question using Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

Adjacent = The distance between the house and the bottom of the ladder = 4 feet

Hypotenuse = Length of the ladder = 12 feet

x = Angle

Hence:

cos x = 4/12

cos x = 1/3

x = arc cos (1/3)

x = 70.528779366°

Approximately to the nearest degree

= 71°

Part B

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?

Angle x = 71°

Therefore, the ladder is been used safely

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: