This chapter is currently out of syllabus
1
JEE Main 2015 (Offline)
+4
-1
Out of Syllabus
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
$$\sqrt 3 :\sqrt 2$$
2
JEE Main 2014 (Offline)
+4
-1
Out of Syllabus
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 $${45^ \circ }$$. It files off horizontally straight away 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
$$20\sqrt 2$$
B
$$20\left( {\sqrt 3 - 1} \right)$$
C
$$40\left( {\sqrt 2 - 1} \right)$$
D
$$40\left( {\sqrt 3 - \sqrt 2 } \right)$$
3
JEE Main 2013 (Offline)
+4
-1
Out of Syllabus
$$ABCD$$ is a trapezium such that $$AB$$ and $$CD$$ are parallel and $$BC \bot CD.$$ If $$\angle ADB = \theta ,\,BC = p$$ and $$CD = q,$$ then AB is equal to:
A
$${{\left( {{p^2} + {q^2}} \right)\sin \theta } \over {p\cos \theta + q\sin \theta }}$$
B
$${{{p^2} + {q^2}\cos \theta } \over {p\cos \theta + q\sin \theta }}$$
C
$${{{p^2} + {q^2}} \over {{p^2}\cos \theta + {q^2}\sin \theta }}$$
D
$${{\left( {{p^2} + {q^2}} \right)\sin \theta } \over {{{\left( {p\cos \theta + q\sin \theta } \right)}^2}}}$$
4
AIEEE 2008
+4
-1
Out of Syllabus
$$AB$$ is a vertical pole with $$B$$ at the ground level and $$A$$ at the top. $$A$$ man finds that the angle of elevation of the point $$A$$ from a certain point $$C$$ on the ground is $${60^ \circ }$$. He moves away from the pole along the line $$BC$$ to a point $$D$$ such that $$CD=7$$ m. From $$D$$ the angle of elevation of the point $$A$$ is $${45^ \circ }$$. Then the height of the pole is :
A
$${{7\sqrt 3 } \over 2} {1 \over {\sqrt {3 - 1} }}m$$
B
$${{7\sqrt 3 } \over 2}\left( {\sqrt {3 } + 1 } \right)m$$
C
$${{7\sqrt 3 } \over 2}\left( {\sqrt {3 } - 1 } \right)m$$
D
$${{7\sqrt 3 } \over 2} {1 \over {\sqrt {3 + 1} }}m$$
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