Question

A 150cm tall boy stands at a distance of 8 m from a lamp post and cast a shadow of 2m, find the height of lamp post

Answer 1

Answer:

Step-by-step explanation:

 Given  

A 150 cm tall boy stands at a distance of 8 m from a lamp post and cast a shadow of 2 m, find the height of lamp post

Let  h m be the height of the lamp post.

Then Δ PQR and Δ CDR are same. (angle PQR = angle CDR and PRQ = CRD by A A postulate)

So PQ / CD = QR / DR    

h/1.5 = 10/2  

h = 10 x 1.5 / 2

h = 15 / 2

h = 7.5 m

So  the height of lamp post is 7.5 m