A vertical stick of length 6 m casts a shadow 4 m long on the ground a

1.	A vertical stick of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
Answer» Let AB be a tower CD be a stick , CD = 6m Shadow of AB is BE = 28cm Shadow of CD is DF = 4m At same time light rays from sun will fail on tower and stick at the same angle So,∠DCF = ∠BAE And ∠DFC = ∠BEA ∠CDF = ∠ABE (Tower and stick are vertically to ground) Therefore ΔABE ~ ΔCDF (By AAA similarity) So, AB/CD = BE/DF AB/6 = 28/4 AB/6 = 7 AB = 7 x 6 AB = 42 m So, height of tower will be 42 meter.

A vertical stick of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

Answer»

Let AB be a tower

CD be a stick , CD = 6m

Shadow of AB is BE = 28cm

Shadow of CD is DF = 4m

At same time light rays from sun will fail on tower and stick at the same angle

So,∠DCF = ∠BAE

And ∠DFC = ∠BEA

∠CDF = ∠ABE (Tower and stick are vertically to ground)

Therefore ΔABE ~ ΔCDF (By AAA similarity)

So, AB/CD = BE/DF

AB/6 = 28/4

AB/6 = 7

AB = 7 x 6

AB = 42 m

So, height of tower will be 42 meter.