7 Two poles of height 5 m and 8 m stand upright in a plane ground. If the distance between their feet is
4 m. find the distance between their tops.
Answers
Step-by-step explanation:
Given:-
Two poles of height 5 m and 8 m stand upright in a plane ground.
To find:-
If the distance between their feet is 4 m. find the distance between their tops.
Solution:-
Heights of the two poles = 5m and 8m
Distance between their frets = 4m
Converting the given data into pictorial diagram
(See the above attachment)
Heights of the two poles AB = 5m and CE = 8m
Join A and D
Distance between their feets = BC = 4m
=>BC = AD = 4m
CE=ED+CD
=>ED = CE-CD
=>ED = 8-5
Therefore,ED = 3 m
Distance between their tops = AE
In ∆ADE , angle D = 90°
It is a right angled triangle
By Pythagoras theorem
"In a right angled triangle , The square of the hypotenuse is equal to the sum of the squares of the other two sides".
=>AE^2 = AD^2 +ED^2
=>AE^2 = 4^2 + 3^2
=>AE^2 = 16+9
=>AE^2 = 25
=>AE = √25
=>AE = 5 m
Therefore,required distance = 5m
Answer:-
The distance between their tops = 5m
Used formulae:-
Pythagoras Theorem:-
"In a right angled triangle , The square of the hypotenuse is equal to the sum of the squares of the other two sides".