Question

As shown in figure 1.57, two poles of height 8 m and 4 m are perpendicular to the ground. If the length of shadow of smaller pole due to sunlight is 6 m then how long will be the shadow of the bigger pole at the same time ?

Answer 1

12 m. By aaa /aa test for similarity
90=90
&angles made by sunlight on top are congruent
At bottom also congruent

Answer 2

Answer:

As shown in figure 1.57, two poles of height 8 m and 4 m are perpendicular to the ground. If the length of shadow of smaller pole due to sunlight is 6 m then

the shadow of the bigger pole at the same time = 12 m

Step-by-step explanation:

in Δ PQR & Δ ABC

∠R = ∠C = 90°

For Shadow Angle of depression = Angle of elevation will be equal

∠Q = ∠B

As two angles are equal so third angle will also be equal

=> Δ PQR ≅ Δ ABC

QR/BC  = PR/AC

=> 6/x = 4/8

=> x = 6 * 8 /4

=> x = 48/4

=> x = 12

the shadow of the bigger pole at the same time = 12 m