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erik [133]
3 years ago
7

A painter leans a 15 ft ladder against a building. The base of the ladder is 6 ft from the building. To the nearest foot, how hi

gh on the building does the ladder reach
Mathematics
2 answers:
stiv31 [10]3 years ago
3 0
Using the Pythagoras theorem 

15^2 = x^2 + h^2   where h = height of ladder on the nuiding

h^2 = 15^2 - 6^2  =  189

 = 13.75 ft to nearest hundredth
Lerok [7]3 years ago
3 0

Answer:

The height of the building does the ladder reach is 13.75 ft.

Step-by-step explanation:

Given : A painter leans a 15 ft ladder against a building. The base of the ladder is 6 ft from the building.

To find : How high on the building does the ladder reach?

Solution :

Let us take AC=Length of a ladder  =15 ft

BC = Distance between ladder base and wall of a building = 6 ft

AB = Height of the building does the ladder reach =h

Triangle formed is angle ABC which is right angle triangle.  

Applying the Pythagoras theorem,

AC^2 =AB^2 + BC^2

15^2 =h^2 + 6^2

225 =h^2 + 36

h=\sqrt{225-36}

h=\sqrt{189}

h=13.75

Therefore, The height of the building does the ladder reach is 13.75 ft.

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