The elevation of the summit of a mountain from its foot is 45 deg After ascending 2 km towards the m...........

Quantitative Aptitude ( CCS) Trignometry

The elevation of the summit of a mountain from its foot is 45°. After ascending 2 km towards the mountain upon an incline of 30°,the elevation changes to 60°. What is the approximate height of the mountain?

1.2 km

0.6 km

1.4 km

2.7 km

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Explanation:

Quantitative Aptitude : Height and Distance
Let A be the foot and C be the summit of a mountain.
Given that angle CAB = 45°
From the diagram, CB is the height of the mountain. Let CB = x
Let D be the point after ascending 2 km towards the mountain such that AD = 2 km and given that angle DAY = 30°
It is also given that from the point D, the elevation is 60°
i.e., angle CDE = 60°
tan45° = CB /AB
=> 1 = x/AB [? CB = x(the height of the mountain)]
=> AB = x ... (eq:1)
From the right ABC,