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 | 29th 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  | 29th Dec, 2013, 10:24: PM

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