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The angle of elevation of the summit of a mountain from a point on the ground is 45°.  After climbing up one km towards the summit at an inclination of 30° from the ground, the angle of elevation of the summit is found to be 60°. Then the height (in km) of the summit from the ground is:

a
13−1
b
13+1
c
3−13+1
d
3+13−1

detailed solution

Correct option is A

In ΔBCDCDS in B=BCSinD∣ ⇒1Sin15°=BCSin150°⇒BC=23-1 In ΔABC,Sin45°=ABBC⇒AB=23-1·12=13-1

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