1
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

Given that a house forms a right angle view from a window of another house, and the angle of elevation from the base of the first house to the window is 60 degrees. If the separation between the two houses is 6 meters, calculate the height of the first house.

A
8$$\sqrt3$$ m
B
6$$\sqrt3$$ m
C
4$$\sqrt3$$ m
D
None of these
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

If in a $$\Delta$$ABC, 2b2 = a2 + c2, then $$\frac{\sin 3B}{\sin B}$$ is equal to

A
$${{{c^2} - {a^2}} \over {2ca}}$$
B
$${{{c^2} - {a^2}} \over {ca}}$$
C
$${{{{({c^2} - {a^2})}^2}} \over {{{(ca)}^2}}}$$
D
$${\left[ {{{{c^2} - {a^2}} \over {2ca}}} \right]^2}$$
3
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

The height of the chimney when it is found that on walking towards it 50 m in the horizontal line through its base, the angle of elevation of its top changes from 30$$^\circ$$ to 60$$^\circ$$ is :

A
25 m
B
25$$\sqrt2$$ m
C
25$$\sqrt3$$ m
D
None of these
4
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45$$^\circ$$. If flies off horizontally straight way from the point O. After one second, the elevation of the bird from O is reduced to 30$$^\circ$$, then the speed (in m/s) of the bird is

A
$$40(\sqrt 2 - 1)$$
B
$$40(\sqrt 3 - \sqrt 2 )$$
C
$$20\sqrt 2$$
D
$$20(\sqrt 3 - 1)$$
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