The angle of elevation of the top of vertical tower from a point on the horizontal ground is found to be . From , a man walks 10 m up a path sloping at a angle . After this the slope becomes steeper and after walking up another 10 m, the man reaches the top of the tower. Distance of from the foot of the tower is |
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a) |
b) |
c) |
d) |

The angle of elevation of the top of vertical tower from a point on the horizontal ground is found to be . From , a man walks 10 m up a path sloping at a angle . After this the slope becomes steeper and after walking up another 10 m, the man reaches the top of the tower. Distance of from the foot of the tower is |
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a) |
b) |
c) |
d) |

1 Answer

127 votes

(a)

Let be the height of the tower and are the points of observations

We have, ,

On applying cosine rule in , we get

In

127 votes

127