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 a) b) c) d)

Question ID - 52310 :- 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 a) b) c) d)

3537

Answer Key : (a ) -

(a)

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

We have, ,

On applying cosine rule in , we get

In

Next Question :

Figures A and B are related in a particular manner. Establish the same relationship between figures C and D by choosing a figure from amongst the five alternatives, which would replace the question mark in fig. (D).