height of two towers are 26m and 33m and the distance between them is 24m. If a rope is tied from the top of one tower to the top of another tower, find the length of the rope
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Answers
Answer:
Sorry about diagram, hope u understnad this and mark me brainliest
Step-by-step explanation:
let the length of the rope be z m.
THE height diffeence of towers is 33-26=7m.(x)
the distance between two towers is 15m.(y)
by pythogaras theorem
x²+y²=z²
7²+24²=z²
49+576=z²
625=z²
25=z
the length of the rope is 25mm
Answer:
The length of the rope is 25 m.
Solution:
Let AB be the tower of height, h = 26 m and CD be the tower of height, H = 33 m
Distance between the towers (BD), d = 24 m
Construct line AE parallel to BD such that, AE = BD = d = 24 m
From the figure, CD = CE + ED
But ED = AB = h = 26 m because ABDE is a rectangle and opposite sides of a rectangle are equal.
⸫ CD = CE + AB
CE = CD – AB
CE = 33 – 26
CE = 7 m
Let CE be x = 7 m
Let the length of the rope be a m.
Now, in ΔACE, according to Pythagoras theorem, we have
(AC)² = (CE)² + (AE)²
(a)² = (x)² + (d)²
a² = (7)² + (24)²
a² =49+ 576
a² =625
a = √625 m
a = 25 m
Hence, the length of the rope is a = 25 m.
The figure is shown below -
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