The angle of elevation of a cloud from a point h metres above the surface of a lake is ` theta ` and the angle of depression of its reflection in the lake is `phi `. Prove that the the height of the cloud above the lake surface is` : h ( ( tan phi + tan theta)/( tan phi - tan theta) ) `
Text Solution
Verified by Experts
The correct Answer is:
` 36 pi cm ^(2)`
Topper's Solved these Questions
REVISION PAPER -2
ICSE|Exercise SECTION B|1 Videos
REVISION PAPER -1
ICSE|Exercise SECTION B|25 Videos
REVISION PAPER -3
ICSE|Exercise SECTION - B|22 Videos
Similar Questions
Explore conceptually related problems
The angle of elevation of a cloud from a point h metre above a lake is theta .The angle depression of its reflection in the lake is 45^@ The height of the cloud is
The angle of elevation of a cloud from a point h mt. above is theta^@ and the angle of depression of its reflection in the lake is phi . Then, the height is
If the angle of elevation of a cloud from a point h metres above a lake is alpha and the angle of depression of its reflection in the lake is beta , prove that the height of the cloud is (h(tanbeta+t a nalpha))/(tanbeta-t a nalpha)
If the angle of elevation of a cloud from a point h metres above a lake is alpha and the angle of depression of its reflection in the take is beta , prove that the height of the cloud is (h(tanbeta+t a nalpha))/(tanbeta-t a nalpha)
The angle of elevation of a stationary cloud from a point 25 m above a lake is 30^(@) and the angle of depression of its reflection in the lake is 60^(@) . What is the height of the cloud above that lake-level ?
The angle of elevation of a stationery cloud from a point 2500 m above a lake is 15o and the angle of depression of its reflection in the lake is 45o . What is the height of the cloud above the lake level? (Use tan15o=0. 268 )
The angle of elevation of a cloud from a point 'h' metres above a lake is alpha and the angle of deprssion of its reflection in the lake is beta . Pover that the distance of the cloud from the point of observation is (2hsecalpha)/(tanbeta-tanalpha) .
If the angle of elevation of a cloud from a point 200 m above a lake is 30^@ and the angle of depression of its reflection in the lake is 60^@ , then the height of the cloud above the lake, is (a) 200 m (b) 500 m (c) 30 m (d) 400 m
The angle of elevation of a cloud from a point 60m above a lake is 30^@ and the angle of depression of the reflection of cloud in the lake is 60^@ . Find the height of the cloud.
The angle of elevation of a cloud from a point 250 m above a lake is 15^(@) and angle of depression of its reflection in lake is 45^(@) . The height of the cloud is
