RD Sharma Test: Introduction to Trigonometry - Grade 10 MCQ

sec θ is equal to –

In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠ POQ = 110°, then ∠ PTQ is equal to

The value of 2 tan² 60° – 4 cos² 45° – 3 sec² 30° is :

The value of 3/4 tan² 30° – 3 sin² 60° + cosec² 45° is

7 sin² θ + 3 cos² θ = 4 then :

The solution of the trigonometric equation 

In sin 3θ = cos (θ – 26°), where 3θ and (θ – 26°) are acute angles, then value of θ is :

The value of sin² 15° + sin² 30° + sin² 45° + sin² 60° + sin² 75° is :

The value of  is :

The values of x and y which make the following solutions true are: cos x° = sin 52° and cos y° = sin (y° + 10)

If α + β = 90° and α = 2β then cos² α + sin² β equal :

A flagstaff 6 metres high throws a shadow 2 √3 metres long on the ground. The angle of elevation is :

An observer √3 m tall is 3 m away from the pole 2 √3 m high. The angle of elevation of the top from the pole is :

An observer 1.5 m tall is 28.5 m away from.a chimney. The angle of elevation of the top of the chimney from her eyes is 45°. The height of the chimney is :

The angle of elevation of the top of a tower from a distance 100 m from its foot is 60°. The height of the tower is :

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. The length of the string is:

A tree is broken by the wind. Its top struck the ground at an angle 30° at a distance of 30 m from its foot. The whole height of the tree is :

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks then the width of the river is :

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is:

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angles of elevation from his eyes to the top of the building increases from 30 to 60° as he walks towards the building. The distance he walked towards the building is :

As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 60°. If one strip is exactly behind the other on the same side of the light-house then the distance between the two ships is :

 In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of tan C is: