Algebra Word Problem

User Generated

Gnlybe22

Mathematics

Description

The distance from the top of a tower to a point on the ground located 30 meters from the base of the tower is 5 meters more than twice the height of the  tower. How high os the tower to the nearest meter?

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Explanation & Answer

let height of tower is x

then by Pythagoras therom 

(5+x)^2 = x^2 + (30)^2

25+x^2+10x= x^2 +  900 

25+10x= 900

x=87.5 meter



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