Area and Perimeter Practice Test 1

Question : 38 of 40

Marks: +1, -0

A lotus is seen 5 cm above the water level of a lake with the onset of the wind it sinks in the water 10 cm away from its place. How deep is the water in that place?

5 cm
7.5 cm
10 cm
5 $√5$ cm

Validate

Solution:

Here, AC is the water level, C is the point where lotus sinks.
Let, AD = x cm, then CD = x + 5 cm, now,

(x + 5)^2 – x^2

10^2

⇒ 10x + 25 = 100
∴ x =

{75}/{10}

= 7.5 cm
Hence, depth of the water = AD = 7.5 cm

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