Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
Answer:
Hello, for the second question, you can actually form a triangle from the line. From there, you can see the height (aka y) will be easier to solve. I hope this helps!
Ans: 1) 47.5
2) 3.4
Step-by-step explanation:
Answer:
Rate of change = -5.
Step-by-step explanation:
The rate of change is essentially the <u><em>slope</em></u>, m = -5, of the given function,
y = -5x - 5
Because the fraction with the lesser denominator divides the whole into less pieces that are essentially larger then the fraction with a greater denominator who divides the whole into more pieces, but smaller.
