1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
From the top of a cliff 50 m high, the angles of depression of the top and bottom of a tower are observed to be $ 30^{\circ} $ and $ 45^{\circ} $. The height of tower is
A
50 m
B
$ 50 \sqrt{3} \mathrm{~m} $
C
$ 50(\sqrt{3}-1) \mathrm{m} $
D
$ 50\left(1-\frac{\sqrt{3}}{3}\right) \mathrm{m} $
2
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

The upper $$(\frac{3}{4})$$ th portion of a vertical pole subtends an angel $$\tan ^{-1}\left(\frac{3}{5}\right)$$ at a point in the horizontal plane through its foot and at a distance $$40 \mathrm{~m}$$ from the foot. A possible height of the vertical is

A
80 m
B
20 m
C
40 m
D
60 m
3
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

A tower $$T_1$$ of the height $$60 \mathrm{~m}$$ is located exactly opposite to a tower $$T_2$$ of height $$80 \mathrm{~m}$$ on a straight road. From the top of $$T_1$$, if the angle of depression of the foot of $$T_2$$ is twice the angle of elevation of the top of $$T_2$$, then the width (in $$\mathrm{m}$$) of the road between the feet of the towers $$T_1$$ and $$T_2$$ is

A
$$20 \sqrt{3}$$
B
$$10 \sqrt{3}$$
C
$$10 \sqrt{2}$$
D
$$20 \sqrt{2}$$
4
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

If $$A, B, C \in[0, \pi]$$ and if $$A, B, C$$ are in $$\mathrm{AP}$$, then $$\frac{\sin A+\sin C}{\cos A+\cos C}$$ is equal to

A
$$\sin B$$
B
$$\cos B$$
C
$$\cot B$$
D
$$\tan B$$
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