162k views
3 votes
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be? ​

User Avarabyeu
by
5.4k points

1 Answer

5 votes

Answer:

26.93 feet

Explanation:

when the ladders rests against a house, a right angled triangle would be formed.

The ladder would be the hypotenuse

the building would be the height

the floor would be the base. we are to determine the base

Given Pythagoras theorem

a² + b² = c²

where c is the hypotenuse

25²+ 10² = c

c² = 100 + 625

c² = 725

c = √725

c = 26.93 feet

User Taquan
by
5.6k points