Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown:
2 answers:
Answer:
Distance between the poles AB and ED is 15.59 feet .
Step-by-step explanation:
By using the pythagoras theorem
Hypotenuse² = Perpendicular² + Base²
As in ΔABC
AC² = AB² + BC²
AC = 13 ft
AB = 11 ft
Put in the above
13² = 11² + BC²
169 = 121 + BC²
169 - 121 = BC²
48 = BC²
BC = 6.93 units (Approx)
As in ΔCDE
CE² = CD² + DE²
CE = 10 ft
DE = 5 ft
Put in the above
10² = CD² + 5²
100 = CD² + 25
100 - 25 = CD²
CD = 8.66 ft (Approx)
Thus
Distance between the poles AB and ED = BC + CD
= 6.93 + 8.66
= 15.59 feet
Therefore the distance between the poles AB and ED is 15.59 feet .
You might be interested in
Answer:
The slope of the line that passes through the points (1,7) and (-4,-8) is 3.
Step-by-step explanation:
The equation of a line has the following format.
In which a is the slope.
Passes through the point (1,7)
When
So
Passes through the point (-4, -8)
When
So
We have to solve the following system
We want to find a.
From the first equation
Replacing in the second equation
The slope of the line that passes through the points (1,7) and (-4,-8) is 3.