NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Problems and Solutions
Question 157

Question. 157

The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. (a) Find the length of the ladder. (b) If the ladder is shifted such that its foot is 8 m away, to what height does its top reach?

Answer:

(a) 10 m (b) 6 m

Detailed Answer with Explanation:

(a) By Pythagoras: √(6²+8²) = √100 = 10. (b) New height = √(10² − 8²) = √36 = 6.

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