Question

These two towers are at a distance of 4 metre from each other and the tower are 10 m and 13 m high find the distance between their tops

Answer 1

$\boxed{ \bold{Green \: line = ground } } \: \\ \boxed{ \bold{Small \: black\: line = small \: pole = 10 m}} \: \\ \boxed{ \bold{Long\: black \:line = long \:pole = 13 m}}$







By Pythagoras Theorem,


( Length of long pole - Length of small pole )² + ( Distance between the poles )² = ( distance between their tops )²



( 1 3 - 1 0 )² + ( AB )² = ( AC )²

( 3 )² + ( 4 )² = ( AC )²

9 + 16 = ( AC )²

25 = ( AC )²

5 = AC





$\bold{ \underline{ Hence, distance \: between \: their \: tops \: is \: 5 m}}$

Answer 2

❤❤Here is your answer ✌ ✌

$\huge\underline {\red {\bold {Answer}}}$

using By Pythagoras Theorem, :-

( Length of long pole - Length of small pole )² + ( Distance between the poles )² = ( distance between their tops )²

13 - 10)² + (AB)² = (AC)²

(3)² + (4)² = (AC)²

9 + 16 = (AC)²

25 = (AC)²

5 = AC