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Arte-miy333 [17]
2 years ago
6

The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top o

f the wall (rounded to the nearest foot)?
A) 12 ft
B) 13 ft
C) 14 ft
D) 15 ft

Mathematics
2 answers:
zimovet [89]2 years ago
4 0
Apply the Pythagorean theorem

a^2 + b^2 = c^2

a = 5, b = 13.

5^2 = 25, 13^2 = 169

25 + 169 = 194

square root 194 = 13.928, rounded to nearest foot = 14 ft. 

The minimum ladder length required to reach the top of the wall = 14 ft. 
  
Download docx
Salsk061 [2.6K]2 years ago
4 0

Answer:

C) 14 ft

Step-by-step explanation:

Let l be the length of ladder ,

The distance of ladder from the wall = 13 ft,

And, the height of wall = 5 ft,

Since, the length of ladder is minimum when the wall is straight,

In this condition,

l^2=(\text{The distance of ladder from the wall})^2+(\text{Height of wall})^2

\implies l^2=13^2+5^2

\implies l^2 = 169 + 25 = 194

\implies l=13.9283883\approx 14

Hence, the approximate minimum length of the ladder is 14 ft.

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