7/10 x 57 should be the correct one.
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 rate of change or slope is 6 inches or half a foot per year. The initial value, or y intercept is 7 ft. Plug this into mx+b form to get y=.5x+7
<h3>Solution:</h3>
By multiplying it by 100, we can get the answer.
<h3>Given Ratio:</h3>
<h3>Converting it into Percent, we get</h3>
<h2>Answer: 64%</h2>
