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Oxana [17]
3 years ago
10

Christopher is hanging Christmas lights along the perimeter of his house by using his 15 foot ladder. The base of the ladder is

placed 4 feet away from the base of his house. How far up the house does his ladder reach?
Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

14.45 feet

Step-by-step explanation:

The set up is a right angled triangle;

The length of the ladder = hypotenuse = 15foot

The base of the ladder is the adjacent = 4feet

The height of th house is the opposite = x

Using the pythagoras theorem;

hyp² = opp² + adj²

15² = opp²+4²

opp² = 15²- 4²

opp² = 225 - 16

opp² = 209

opp = 14.45feet

Hence the ladder reaches 14.45 feet up the house

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