CBSE Class 10 Answered
At the foot of a mountain, the elevation of its summit is 45 degree. After ascending 1000 m towards the mountain up a slope of 30 degree inclination, the elevation is found to be 60 degree . find the height of the mountain.
Asked by Deepshikha deepak | 29 Dec, 2013, 09:36: PM
Expert Answer
In the figure, AB represents the mountain of height h, say. In OCE,
sin 30° =
cos 30° =
OE =
In AOB,
tan 45o =
OA = AB
CD = EA = OA - OE = h -
BD = AB - AD = AB - CE = h - 500
In BCD,
tan 60o =
Thus, the height of the mountain is 1.366 km.
Answered by | 29 Dec, 2013, 10:24: PM
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