Answer:
12
Step-by-step explanation:
let the height of building be x
by the Pythagoras theorem
13²=5²+x²
169=25+x²
169-25=x²
144=x²
12=x
thus,height of the building the ladder reaches is 12
The answer is 12m
GIVEN
Height of the Ladder = 13 m
Distance between base of the ladder and wall = 5 m
TO FIND
How high up the building will the ladder reach in the picture below.
SOLUTION
We can simply solve the above problem as follows;
let the height of the ladder = AB = 13m
Let the height till which the ladder reaches up the building be, 'BC'
AC = 5m
Applying Pythagoras theorem in ∆ABC
AB² = BC² + AC²
13² = BC² + 5²
169 = BC² + 25
BC² = 169 - 25 = 144
BC = √144 = 12m
Hence, The answer is 12m
#SPJ2
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Verified answer
Answer:
12
Step-by-step explanation:
let the height of building be x
by the Pythagoras theorem
13²=5²+x²
169=25+x²
169-25=x²
144=x²
12=x
thus,height of the building the ladder reaches is 12
The answer is 12m
GIVEN
Height of the Ladder = 13 m
Distance between base of the ladder and wall = 5 m
TO FIND
How high up the building will the ladder reach in the picture below.
SOLUTION
We can simply solve the above problem as follows;
let the height of the ladder = AB = 13m
Let the height till which the ladder reaches up the building be, 'BC'
AC = 5m
Applying Pythagoras theorem in ∆ABC
AB² = BC² + AC²
13² = BC² + 5²
169 = BC² + 25
BC² = 169 - 25 = 144
BC = √144 = 12m
Hence, The answer is 12m
#SPJ2