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
To find the fraction of oranges we need the total number of fruits and then divide it by number of oranges to get the part of circle that represents number of oranges...
- Total fruits= 7+3+6+2+6 = 24
- Number of oranges= 6
Reduce the fraction with 4
- <em>Thus, Option D is the correct choice!!~</em>
Answer:
20 feet
Step-by-step explanation:
66/3.3
it's twenty i dont know what else to say
6c = 54
Bcz "6 She was charged a flat shipping fee of $6 and no sales tax"
;)
Answer:
Dimensions of the square garden = 9 meters by 9 meters
Dimensions of the triangular garden = 12 meters
Step-by-step explanation:
Let the measure of a side of the square garden = x meters
Perimeter of the square = 4x meters
Since each side of the triangle is 3 meters longer than each side of the square, side of the triangle will measure = (x + 3)
Perimeter of the equilateral triangle = 3(x + 3) meters
Perimeter of the square = perimeter of equilateral triangle
4x = 3(x + 3)
4x = 3x + 9
4x - 3x = 9
x = 9 meters
Dimensions of the square garden = 9 meters by 9 meters
Dimensions of the triangular garden = 12 meters
