Home
Class 10
MATHS
The angle of elevation of a cloud from a...

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 `45^0dot` The height of the cloud is `htan(45^0+theta)` (b) `hcot(45^0+theta)` `htan(45^0-theta)` (d) `hcot(45^0+theta)`

A

`(h(1+tan theta))/((1-tan theta))`

B

`(h(1-tan theta))/(1+tan theta)`

C

`htan(45^@-theta)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION (HOTS)|5 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION (HOTS)|5 Videos
  • SOF INTERNATIONAL MATHEMATICS OLYMPIAD QUESTION PAPER 2020

    SCIENCE OLYMPIAD FOUNDATION |Exercise LOGICAL REASONING |1 Videos
  • STATISTICS

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers section (Hots)|3 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

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

If the angle of elevation of a cloud from a foot 4 meters above a lake is beta and the angle of depression of its reflection in the lake is alpha then the height is

The angle of elevation of a cloud from a point 60m above a lake is 30o and the angle of depression of the reflection of cloud in the lake is 60_(0). Find the height of the cloud.

The angle of elevation of cloud from a point 60 m 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 .

If the angle of elevation of the cloud from a point hm above a lake is A and the angle of depression of its reflection in the lake is B prove that the height of the cloud is h(tan B+tan A)tan B-tan A

If the angle of elevation of a cloud from a point 200m 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 :

The angle of elevation of a cloud from a point 60m above a leke is 30^(@) and the angle of depression of the reflection of cloud in the alek is 60^(@). Find the height of the cloud.