Heights and Distances Test

Result

Heights and Distances Test - 5

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

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

A
120

B
60√3

C
120√3

D
60
Question 2
4 / -1

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

A
2a/√3

B
2a√3

C
a/√3

D
√3
Question 3
4 / -1

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

A
90 m

B
(150 - 60√3)m

C
(150 - 20√3)m

D
None of these
Question 4
4 / -1

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

A
150^o

B
30^o

C
60^o

D
45^o
Question 5
4 / -1

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

A
d tan α

B
d cot β

C
d/(cot α + cot β)

D
d/(cot α - cot β)
Question 6
4 / -1

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

A
20 m

B
10 m

C
5 m

D
1 m
Question 7
4 / -1

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

A
R sin α

B
R cos α

C
R cot α

D
R tan α
Question 8
4 / -1

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

A
15√3 m

B
15/√3 m

C
15 m

D
20 m
Question 9
4 / -1

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

A
b tan α cot β

B
b cot α tan β

C
b cot α cot β

D
b tan² α cot β
Question 10
4 / -1

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

A

B

C

D