CBSE Class 7 Answered

The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground.If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its top reach?

Asked by abhinavsinha317 | 09 Aug, 2018, 11:49: AM

Expert Answer

begin mathsize 16px style Distance space from space wall space to space foot space of space ladder space AB space equals space 6 space straight m and space height space of space window space BC space equals space 8 space straight m So comma Let space length space of space ladder space AC space equals space straight x space straight m In space increment ABC comma space By space pythagoras space Theorem comma space we space get AC squared space equals space AB squared space plus space BC squared rightwards double arrow space space straight x squared space equals space 6 squared space plus space 8 squared rightwards double arrow space straight x squared space equals space 36 squared space plus space 64 squared rightwards double arrow straight x squared space space equals 100 rightwards double arrow straight x space equals space 10 So comma length space of space ladder space AC space equals space 10 space straight m Now space the space distance space of space foot space of space ladder space from space wall space AB space equals space 8 space straight m And We space know space length space of space ladder space AC space equals space 10 space straight m So comma Height space of space tip space of space ladder space BC space equals space straight h space straight m end style

begin mathsize 16px style In space increment ABC comma By space pythagoras space theorem comma AC squared space equals space AB squared space plus space BC squared rightwards double arrow 10 squared space equals space 8 squared space plus space straight h squared rightwards double arrow straight h space equals space 6 Therefore space the space tip space reach space at space height space of space 6 space straight m. end style

Answered by Yasmeen Khan | 09 Aug, 2018, 01:20: PM

CBSE Class 7 Answered

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CBSE Class 7 Answered

Concept Videos

Introduction to Fractions

Addition of Fractions

Introduction to Integers

Pair of Lines

Solving Simple Equations

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