Answer:
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
The red triangle is a rotation, the red one is a reflection. hope this helps
The resultant force is the sum of all forces positioned at different directions and placed in a specific angle. In this case, we can take the short way to answer this problem. we use the calculator and shift the mode to complex to add 100<50 and 50<160. the answer is 95.29<79.54. The magnitude is 95.29 pounds and the angle is 79.54<span>°.</span>
Answer:
10x + 10 units
Step-by-step explanation:
To find the perimeter of a rectangle, you can simply add up the length and width, and then multiply that sum by 2. The sum of the dimensions is 4x + (x + 5) = 5x + 5 and two times that would then be 2(5x + 5) = 10x + 10.
