Question

 a man standing on a platform, 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.​

Answer 1

Answer:

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Step-by-step explanation:

1. Hence, if a man standing on a platform $3\;{\text{m}}$ above from the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is not equal to the angle of depression of its reflection. Thus, the given statement is false.

Answer 2

Let the height of the cloud from the surface of the platform is hh and the angle of elevation of the cloud is θ1θ1.

Now, at the same point the man observes cloud reflection in the lake at this the height is

h+3h+3 because in the lake the platform height is also added.

Therefore, θ1≠θ2θ1≠θ2. Hence, if a man standing on a platform 3m3m above from the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is not equal to the angle of depression of its reflection. Thus, the given statement is false.

False ❤