(Q27) A flag pole 4 m tall casts a 6 m., shadow. At the same time, a nearby building casts a shadow of 24 m. How tall is the building ?

Solution :

Given : 4 m length flag pole casts a shadow 6 m.

Let x m length/tall building casts a shadow 24 m.

Let AB be the length of flag pole = 4 m.

Shadow of AB = BC = 6 m.

PQ be the building = x m (say)

QR, the shadow of the building = 24 m

From the figure,

∠A = ∠

∠B = ∠

∴ ∆ABC ∼ ∆PQR by A.A. similarity condition

[∵ Ratio of corresponding angles is equal]

∴ Height of the building = m.