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The angle of elevation of a …

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The angle of elevation of a cloud from a point 60 metres above a lake is 30 degree and the angle of depression of the reflection of the cloud in the lake is 60 degree. Find the height of the cloud.

Posted by Bijay Sharma 6 years, 10 months ago

CBSE > Class 10 > Mathematics

5 answers

Parvathi Santhosh 6 years, 10 months ago

An important question from trigonometry part 2

Parvathi Santhosh 6 years, 10 months ago

It is an important question

Gaurav Seth 6 years, 10 months ago

Let AB be the surface of the lake and P be the point of observation such that AP = 60 m. Let C be the position of the cloud and C be its reflection in the lake.
Then CB =
Draw PM⊥CB
Let CM = h
∴ CB = h + 60 m

In ∆CPM

⇒ 3h = h + 120 m
⇒ 2h = 120 m
⇒ h = 60 m
CB = h + 60m = 60m + 60m = 120m
Thus, the height of the cloud from the surface of the lake is 120 m.

Honey ??? 6 years, 10 months ago

Dist beyween lake and cloud is equals to dist. between lake and cloud shadow

Honey ??? 6 years, 10 months ago

120 metres

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