SOME APPLICATIONS OF TRIGONOMETRY Test

The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is below the horizontal level.

If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is \(45^\circ \), then the value of ‘x’ is

In a right triangle ABC, \(\angle B{\text{ }} = {\text{ }}90^\circ \)and 2 AB = \(\sqrt 3 \)AC, then \(\angle C\) is

The angle of elevation of the sun when the shadow of a pole ‘h’ metres high is \(\frac{h}{{\sqrt 3 }}\)metres long is

An observer 1.5m tall is 23.5m away from a tower 25m high. The angle of elevation of the top of the tower from the eye of the observer is

In a right DABC, \(\angle C{\text{ }} = {\text{ }}90^\circ .\) If AC = \(\sqrt 3 \)BC and \(\angle B{\text{ }} = \phi ,\) then the value of is

The angle of elevation of the sun when the shadow of a pole of height ‘h’ metres is \(\sqrt 3 \)h metres long is

A kite is flying at a height of 90m 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 \(60^\circ \). The length of the string, assuming that there is no slack in the string is

If the altitude of the sun is \(60^\circ \), the height of a tower which casts a shadow of length 90m is

The angles of elevation of the top of a tower from two points on the ground at distances 8m and 18m from the base of the tower and in the same straight line with it are complementary. The height of the tower is

A contractor planned to install a slide for the children to play in a park. If he prefers to have a slide whose top is at a height of 1.5m and is inclined at an angle of \(30^\circ \) to the ground, then the length of the slide would be

A kite is flying at a height of 200m 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 45°. The length of the string, assuming that there is no slack in the string is

If in a \(\Delta ABC,\angle C{\text{ }} = {\text{ }}90^\circ \) and \(\angle B{\text{ }} = {\text{ }}45^\circ ,\) then state which of the following is true?

A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. If the angle made by the rope with the ground level is 45°, then the height of the pole is

The ratio between the height and the length of the shadow of a pole is 1 : \(\sqrt 3 \), then the sun’s altitude is