1
JEE Main 2018 (Offline)
+4
-1
PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P, Q and R are respectively 45$$^\circ$$, 30$$^\circ$$ and 30$$^\circ$$, then the height of the tower (in m) is :
A
$$50\sqrt 2$$
B
100
C
50
D
$$100\sqrt 3$$
2
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1 A tower T1 of height 60 m is located exactly opposite to a tower T2 of height 80 m on a straight road. Fromthe top of T1, if the angle of depression of the foot of T2 is twice the angle of elevation of the top of T2, then the width (in m) of the road between the feetof the towers T1 and T2 is :
A
$$10\sqrt 2$$
B
$$10\sqrt 3$$
C
$$20\sqrt 3$$
D
$$20\sqrt 2$$
3
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1 An aeroplane flying at a constant speed, parallel to the horizontal ground, $$\sqrt 3$$ kmabove it, is obsered at an elevation of $${60^o}$$ from a point on the ground. If, after five seconds, its elevation from the same point, is $${30^o}$$, then the speed (in km / hr) of the aeroplane, is :
A
1500
B
1440
C
750
D
720
4
JEE Main 2017 (Offline)
+4
-1 Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP = 2AB. If $$\angle$$BPC = $$\beta$$, then tan$$\beta$$ is equal to:
A
$${1 \over 4}$$
B
$${2 \over 9}$$
C
$${4 \over 9}$$
D
$${6 \over 7}$$
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