JEE Questions for Maths Heights And Distances Quiz 2

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 Con the ground is 60°. Ile 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°. Then, the height of the pole is

0%
0%
2)
0%
0%

From the top of a hill h meters high, the angles of depressions of the top and the bottom of a pillar are α and β, respectively. The height (in metres) of the pillar is

0%
0%
2)
0%
0%

The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be 30°. After walking 120 m towards it on level ground, the elevation is found to be 60°. Then, the height (in metres) of the object is

0%
120
0%
60√3
0%
120√3
0%
60

A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (= a) subtends an angle of 60° at the foot of the tower and the angle of elevation of the top of the first tower from A or B is 30°. The height of the tower is

0%
2a/√3
0%
2a√3
0%
a/√3
0%
√3

The horizontal distance between two towers is 60 m and the angle of depression of the top of the first tower as seen from the top of the second is 30°. If the height of the second tower is 150 m, then the height of the first tower is

0%
90 m
0%
(150 - 60√3)m
0%
(150 - 20√3)m
0%
None of these

The angle of elevation of the Sun, if the length of the shadow of a tower is √3 times the height of the pole, is

0%
150o
0%
30o
0%
60o
0%
45o

The angle of elevation of an object from a point on the level ground is α. Moving d metres on the ground towards the object, the angle of elevation is found to be β. Then, the height (in metres) of the object is

0%
d tan α
0%
d cot β
0%
d/(cot α + cot β)
0%
d/(cot α - cot β)

On one bank of river, there is a tree. On another bank, an observer makes an angle of elevation of 60° at the top of the tree. The angle of elevation of the top of the tree at a distance 20 m away from the bank is 30°. The width of the river is

0%
20 m
0%
10 m
0%
5 m
0%
1 m

The angle of elevation of the top of the tower observed from each of the three points A B and C on the ground forming a triangle is the same i.e. ∠α. If R is the circumradius of the ∆A BC, then the height of the tower is

0%
R sin α
0%
R cos α
0%
R cot α
0%
R tan α

Two pillars of equal height stand on either side of a road-way which is 60 m wide. At a point in the road-way between the pillars, the elevation of the top of pillars are 60° and 30°. The height of the pillars is

0%
15√3 m
0%
15/√3 m
0%
15 m
0%
20 m

A tower subtends an angle a at a point A in the plane of its base and the angle of depression of the foot of the tower at a point b feet just above A is β. Then, the height of the tower is

0%
b tan α cot β
0%
b cot α tan β
0%
b cot α cot β
0%
b tan2 α cot β

A flag is standing vertically on a tower of height b. On a point at a distance a from the foot of the tower, the flag and the tower subtend equal angles. The height of the flag is

0%
0%
2)
0%
0%

The shadow of a tower is found to be 60 m shorter when the Sun's altitude changes from 30° to 60°. The height of the tower from the ground is approximately

0%
62 m
0%
301 m
0%
101 m
0%
75 m
0%
52 m

A BCD is a rectangular field. A vertical lamp post of height 12 m stands at the corner A. If the angle of elevation of its top from B is 60° and from C is 45°. then the area of the field is

0%
48√2 sq m
0%
48√3 sq m
0%
12√3 sq m
0%
12√2 sq m

If a flagstaff subtends the same angle at the points A, B,C and D on the horizontal plane through its foot, then A,B,C and D form a

0%
square
0%
cyclic quadrilateral
0%
rectangle
0%
none of these

The angle of elevation of the top of a vertical pole when observed from each vertex of a regular hexagon is π/3. If the area of the circle circumscribing the hexagon be A sq. metre, then the area of the hexagon is .

0%
0%
2)
0%
0%
none of these

A vertical lamp-post of height 9 metres stands at the corner of a rectangular field. The angle of elevation of its top from the farthest corner is 30^o, while from another corner it is 45^o. The area of the field is

0%
81 sq. metres
0%
2)
0%
0%
none of these

A flagstaff stands vertically on a pillar, the height of the flagstaff being double the height of the pillar. A man on the ground at a distance finds that both the pillar and the flagstaff subtend equal angles at his eyes. The ratio of the height of the pillar and the distance of the man from the pillar is

0%
0%
2)
0%
0%

ABC is an equilateral triangular plot. An electric pole stands at the vertex and makes an angle of 60° at either of the other two vertices. If the height of the triangle is 100 m, then the height of the pole is

0%
100 m
0%
150 m
0%
200 m
0%
300 m

Two straight roads OA and OB intersect at O. A tower is situated within the angles formed by them and subtends angles of 45° and 30° at the points A and B where the roads are nearest to it. If OA = α and OB = b, then the height of the tower is

0%
0%
2)
0%
0%

JEE Questions for Maths Heights And Distances Quiz 2 - MCQExams.com

0:0:1

Practice Maths Quiz Questions and Answers

JEE Questions for Maths Heights And Distances Quiz 2 - MCQExams.com

0:0:1

Practice Maths Quiz Questions and Answers

Support mcqexams.com by disabling your adblocker.