Question

A lotus is blooming in a lake. The flower is 1/2 metres above the surface of the lake. When the western wind blows, the flower droops at a distance of 2 m from the base. Find the depth of the lake.

answer this guys!!!​

Answer 1

3.5 meter is the right ans of this question

Answer 2

Answer:

3.75 m

Step-by-step explanation:

Let the depth of the lake be 'x' m.

Given that flower is 1/2 metres above the surface of the lake.

So, length of stem = x + 1/2 m.

Given, distance = 2 m.

By Pythagoras theorem, we get

⇒ (x + 1/2)² = x² + 2²

⇒ x² + 1/4 + x = x² + 4

⇒ x + (1/4) = 4

⇒ (4x + 1) = 16

⇒ 4x = 15

⇒ x = 15/4

⇒ x = 3.75 m.

Therefore, depth of the lake = 3.75 m.

Hope it helps!