Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 104

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

A
100 ft

B
120 ft

C
150 ft

D
None of these

Solution
Question 2
4 / -1

A flag-pot 20 m high standing on the top of a house subtends an angle whose tangent is 1/6 at a distance 70 m from the foot of the house. The height of the house is

A
30 m

B
60m

C
50 m

D
None of these

Solution
Question 3
4 / -1

A balloon is coming down at the rate of 4 m/min and its angle of elevation is 45^o from a point on the ground which has been reduced to 30^o after 10 minutes. Balloon will be on the ground at a distance of how many metres from the observer

A

B

C

D
None of these

Solution
Question 4
4 / -1

A person standing on the bank of a river finds that the angle of elevation of the top of tower on the opposite bank is 45^o. Then which of the following statement is correct

A
Breadth of the river is twice the height of the tower

B
Breadth of the river and the height of the tower are the same

C
Breadth of the river is half of the height of the tower

D
None of the above

Solution
Question 5
4 / -1

AB is a vertical pole resting at the end A on the level ground. P is a point on the level ground such that AP = 3 AB. If C is the mid-point of AB and CB subtends an angle β at P, the value of tanβ is

A

B

C

D
None of these

Solution
Question 6
4 / -1

Two straight roads intersect at an angle of 60^o. A bus on one road is 2 km away from the intersection and a car on the other road is 3 km away from the intersection. Then the direct distance between the two vehicles is

A
1 km

B
√2 km

C
4 km

D
√7 km

Solution
Question 7
4 / -1

If a flagstaff of 6 metres high placed on the top of a tower throws a shadow of 2√3 metres along the ground, then the angle (in degrees) that the sun makes with the ground is

A
60^o

B
80^o

C
75^o

D
None of these

Solution
Question 8
4 / -1

The angle of elevation of cliff a point A on the ground and a point B, 100 m vertically at A are α and β respectively. The height of the cliff is

A

B

C

D

Solution
Question 9
4 / -1

A flag-staff of 5 m high stands on a building of 25 m high. At an observer at a height of 30 m, the flag-staff and the building subtend equal angles. The distance of the observer from the top of the flag-staff is

A

B

C

D
None of these

Solution
Question 10
4 / -1

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

A

B

C
15 m

D
20 m

Solution