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
18 students are 100%-37,5%-40%=22,5%
18 students - 22,5%
x students - 100%
22,5x=18×100
x=80
Answer: 80 students
Answer:
4.5 miles
Step-by-step explanation:
Distance = 9 inches
1 inch = 1/2 mile
9 / 1/2 = 4.5
9 inch = 4.5 miles
Answer:
percentage of 0.9% of 1,000
3/5 = 0.6
0.15 = 3/20
7/8 = 0.875
0.725 = 29/40
