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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
Answer:
<h2>
b) y = -3x - 7</h2>
Step-by-step explanation:
3x + y = 5 {subtract 3x from both sides}
y = -3x + 5 ← slope-intercept form
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = -3x + 5 ⇒ m₁ = -3 ⇒ m₂ = -3
(-1, -4) ⇒ x₁ = -1, y₁ = -4
The point-slope form:
y - (-4) = -3(x - (-1))
y + 4 = -3(x + 1)
y + 4 = -3x - 3 {subtact 4 from both sides}
<h3>
<u>y = -3x - 7 </u><u> ← slope-intercept form</u></h3>
Answer:
21/7= 3
Step-by-step explanation:
Soh Cah Toa
Sin= opposite/ hypotenuse
Cos= adjacent/ hypotenuse
Toa= opposite/ adjacent
Tan(C)= 20/21