3 years ago

A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?

Mathematics

1 answer:

Dimas [21]3 years ago

7 0

Answer:

23ft approx

Step-by-step explanation:

Given data

Distance from tree= 10ft

Length of ladder= 25ft

We can find the height of the tree by applying the Pythagoras theorem

z^2= x^2+y^2

z= The height of the ladder

x= The distance from the tree

y= The height of the tree

25^2= 10^2+ y^2

625=100+y^2

625-100=y^2

525=y^2

y= √525

y= 22.91

Hence the height of the tree is 23ft approx

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