Step-by-step explanation:
2 right triangles are formed.
x is the angle btw wire and grnd
tan x = 10/5 = 2
tanx = ht of tower/(5+14)
2 = tower ht/19
tower ht = 38
length of wire =

We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
Answer:
55 light years
Step-by-step explanation:
3.233e+14 miles
Answer:
5 5/8
Step-by-step explanation:
How many whole 8's will fit into 45?
We find that five whole 8's fit into 45.
8*5=40
45-40=5
So, the mixed number is 5 5/8
Answer:
4/5 of an hour
Step-by-step explanation:
3/10 of an hour (60 minutes) equals 18 minutes
3/4 of 5 km equals 3.75 km
therefore, you can create a ratio of minutes over km equals min over km
let 't' = time
18/3.75 = t/10
cross-multiply to get this equation:
3.75t = 180
divide each side by 3.75 to get:
t = 48 minutes
48 minutes out of 60 minutes equals 4/5 of one hour