Question
At the foot of the mountain the angle of elevation of its summit is found to b . After ascending a ft. towards the mountain up a slope of inclination , the angle of elevation is found to be . Show that the height of the mountain is
feet.
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Text solutionVerified
The angle of elevation of summit A at C is , and at D is where CD = a and .
From.
Also from
Now two sides h = AC and and a = CD are given.
They come in triangles ACB and ACD respectively and both have side AC common. Applying sine rule on both and eliminate common side AC
...(1)
or ...(2)
Hence from (1) by the help of (2).
From.
Also from
Now two sides h = AC and and a = CD are given.
They come in triangles ACB and ACD respectively and both have side AC common. Applying sine rule on both and eliminate common side AC
...(1)
or ...(2)
Hence from (1) by the help of (2).
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Question Text | At the foot of the mountain the angle of elevation of its summit is found to b . After ascending a ft. towards the mountain up a slope of inclination , the angle of elevation is found to be . Show that the height of the mountain is feet. |
Answer Type | Text solution:1 |
Upvotes | 150 |