Question

a vertical lenght of 6m cast A SHADOW 400cm long on the ground and at the same time a tower casts a shadow 28m long ,using similarity,find the height of the tower

Answer 1

Step-by-step explanation:

Heya !!

Given :-

• Length of the vertical pole = 6m
• Shadow of the pole = 4 m
• Length of shadow of the tower = 28

To Find :-

• find the height of the tower

Supposed Height of tower = h m

In ΔABC and ΔDEF,

∠C = ∠E (angular elevation of sum)

∠B = ∠F = 90°

∴ ΔABC ~ ΔDEF (By AA similarity criterion)

∴ AB/DF = BC/EF

putting value

⇒ 6/h = 4/28

⇒ 4h = 6×28

⇒ 4h = 168

⇒ h = 168/4

⇒ h = 42

Hence, the height of the tower is 42 m.

Answer 2

hope it's helpful for u...thnx