Question

The length of the shadow of a tree. 20m is 2013 m. What will be the shadow of the pole 16√3mh high at the same time? Find it​

Answer 1

To find the shadow of the pole, we need to determine the proportion between the height of the pole and the length of its shadow.

Let's set up a proportion:
Height of pole / Length of shadow = Height of tree / Length of shadow of the tree

Plugging in the values we have:
(16√3) / Length of shadow = 20 / 2013

Cross-multiplying, we get:
(16√3) * 2013 = 20 * Length of shadow

Simplifying, we have:
(16√3) * 2013 = 20 * Length of shadow

Multiply 16 and 2013:
32208√3 = 20 * Length of shadow

Divide both sides by 20:
(32208√3)/20 = Length of shadow

Simplifying:
1610.4√3 = Length of shadow

Therefore, the shadow of the pole at the same time will be approximately 1610.4√3 meters long.