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

Step-by-step explanation:

Given: In ∆PLR and ∆ABC.

1. AB=8m.
2. PR=4m.
3. RL=6m.

To find: BC=?

In ∆PLR and ∆ABC.

angle R =angle B(right angles).

angle LPR=angle CAB(angle made by sunlight).

:∆PLR ~∆ABC.( AA criteria).

so, PR/AC=LR/BC.

=> 4/8=6/BC

=> 1/2=6/BC

=> BC=12m.