Question

A ladder is 17m long .it reaches window at a heighth above the ground. if the foot of ladder is at a distance 8m the wall. find the height of the window

Answer 1

The ladder, the wall and ground will form a right angled triangle.

Hypotenuse = Length of ladder = 17 m

Base = Distance of foot of wall and ladder = 8 m

Height of wall to the window = sqrt ( 17^2 - 8^2)

= sqrt ( 289 - 64)

= sqrt ( 225)

= 15 m

Answer 2

By Pythagoras theorem,

[tex](17)^{2} = (8)^{2} + (height)^{2} 289 = 64 + height^{2} 289 - 64 = height^{2} 225 =height^{2} \sqrt{225} = height15 = height [/tex]


i hope this will help you


-by ABHAY