1
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1 Two vertical poles are 150 m apart and the height of one is three times that of the other. If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complementary, then the height of the shorter pole (in meters) is :
A
30
B
25
C
20$$\sqrt 3$$
D
25$$\sqrt 3$$
2
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
The angle of elevation of the summit of a mountain from a point on the ground is 45°. After climbing up one km towards the summit at an inclination of 30° from the ground, the angle of elevation of the summit is found to be 60°. Then the height (in km) of the summit from the ground is :
A
$${1 \over {\sqrt 3 - 1}}$$
B
$${{\sqrt 3 + 1} \over {\sqrt 3 - 1}}$$
C
$${1 \over {\sqrt 3 + 1}}$$
D
$${{\sqrt 3 - 1} \over {\sqrt 3 + 1}}$$
3
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30°. If the angle of depression of the image of C in the lake from the point P is 60°,then PC (in m) is equal to :
A
$$200\sqrt 3$$
B
400
C
100
D
$$400\sqrt 3$$
4
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45o from a point A on the plane. Let B be the point 30 m vertically above the point A. If the angle of elevation of the top of the tower from B be 30o, then the distance (in m) of the foot of the tower from the point A is :
A
$$15\left( {1 + \sqrt 3 } \right)$$
B
$$15\left( {3 - \sqrt 3 } \right)$$
C
$$15\left( {3 + \sqrt 3 } \right)$$
D
$$15\left( {5 - \sqrt 3 } \right)$$
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination