some applications of trigonometry mcq Class 10 Mcq Test (100901)

A ladder of 10 m length touches a wall at height of 5 m. The angle made by it with the horizontal is:

(a) 90°                                 (b) 60°

(c) 45°                                 (d) 30°

The length of the string of a kite flying at 100 m above the ground with the elevation of 60° is:

(a) 100 m                           (b) \(100\sqrt{2}\)  m

(c) \(\frac{200}{\sqrt{3}}\)  m                             (d) 200 m

A tree 6 m tall casts a 4 m long shadow. At the same time a pole casts a shadow 10 m long. The height of the pole is:

(a) 40 m                              (b) 20 m

(c) 15 m                              (d) 10 m

The angle formed by the line of sight with the horizontal, when the point being viewed is above the horizontal level is called:

(a) vertical angle

(b) angle of depression

(c) angle of elevation

(d) obtuse angle

The tops of two poles of heights 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, then the length of the wire is:

(a) 34 m                              (b) 12 m

(c) 6 m                                (d) 17 m

The angle of elevation of the top of a building 50 m high, from a point on the ground is 45°. The distance of the point from the foot of the building is:

(a) 100 m                           (b) 50 m

(c) 45 m                              (d) 60 m

The measure of angle of elevation of top of a tower \(75\sqrt{3}\) m high from a point at a distance of 75 m from foot of the tower in a horizontal plane is:

(a) 30°                                (b) 60°

(c) 90°                                 (d) 45°

If the ratio of height of a tower and the length of its shadow on the ground is \(\sqrt{3}\) : 1, then the angle of elevation of the sun is:

(a) 60°                                (b) 45°

(c) 30°                                 (d) 90°