1
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
$${6 \over 7}$$
2
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1 The angle of elevation of the top of a vertical tower from a point A, due east of it is 45o. The angle of elevation of the top of the same tower from a point B, due south of A is 30o. If the distance between A and B is $$54\sqrt 2 \,m,$$ then the height of the tower (in metres), is :
A
$$36\sqrt 3$$
B
54
C
$$54\sqrt 3$$
D
108
3
JEE Main 2016 (Offline)
+4
-1 A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30o. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60o. Then the time taken (in minutes) by him, from B to reach the pillar, is :
A
6
B
10
C
20
D
5
4
JEE Main 2015 (Offline)
+4
-1 If the angles of elevation of the top of a tower from three collinear points $$A, B$$ and $$C,$$ on a line leading to the foot of the tower, are $${30^ \circ }$$, $${45^ \circ }$$ and $${60^ \circ }$$ respectively, then the ratio, $$AB:BC,$$ is :
A
$$1:\sqrt 3$$
B
$$2:3$$
C
$$\sqrt 3 :1$$
D
$$\sqrt 3 :\sqrt 2$$
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