Question
The angle of elevation of the top of a hill at the foot of a tower is and the angle of elevation of top of the tower from the foot of the hill is . If the tower is m high, then the height of the hill is :
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Text solutionVerified
Let be the hill and be the tower.
Since the angle of elevation of the top of the tower from the foot of the hill is .
Again, the angle of elevation of the top of the hill from the foot of the tower is .
In right-angled
m .....(i)
In right-angled , we have
....{from (i)}
........(ii)
m
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Question Text | The angle of elevation of the top of a hill at the foot of a tower is and the angle of elevation of top of the tower from the foot of the hill is . If the tower is m high, then the height of the hill is : |
Answer Type | Text solution:1 |
Upvotes | 150 |