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The weather bureau determines the height...

The weather bureau determines the height of cloud layer by measuring the angle of elevation to the point, where the light of a vertical beam is reflected by clouds. The angle is measured at any observation station sapeerated from the foot of the light beam by a base lline. If the base line is 500 m in length, what is the altiude of cloud layer observed at `41@` ?

Text Solution

Verified by Experts

In fig. 1(ACP). 1., OP is the base line of length 500m.

AP is height h of cloud layer.
`/_ AOP = theta =41^@C`
`"In"` Delta AOP,
`tan 41^@ = (AP)/(OP) = (AP)/(500)`
`AP = 500xxtan 41^@ = 500xx0.8692`
`h = 434.6m`
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