# What will be the Distance of the Object? If

From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 300 and 450 . Then the distance between the objects are

1. 180 (3+√3) m
2. 180 (3-√3) m
3. 180 (√3-1) m
4. 180 (√3+1) m
Manish Listener Asked on 18th July 2015 in

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Explanation:-
According to the question,
In the figure-

The height of the tower is BC = 180 m  and  A & D are two objects which given in the question.
In right angle right triangle BCD,
tan45o = 180/BD
1 = 180/BD
Then, BD = 180 m                      ……………………… (1)
Now, In right triangle ABC,