SOME APPLICATIONS OF TRIGONOMETRY

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
The is the line drawn from the eye of an observer to the point in the object viewed by the observer.

The of an object viewed, is the angle formed by the line of sight with the horizontal when it is above the horizontal level, i.e., the case when we raise our head to look at the object.

The of an object viewed, is the angle formed by the line of sight with the horizontal when it is below the horizontal level, i.e., the case when we lower our head to look at the object.

The height or length of an object or the distance between two distant objects can be determined with the help of ratios.

The angle of elevation of the top of a 15m high tower at a point 15m away from the base of the tower is ° .

Two poles are 25 m and 15 m high and the line joining their tops makes an angle of 45° with the horizontal. The distance between these poles is m.

The ratio of the height of a tower and the length of its shadow on the ground is √3 : 1. then,the angle of elevation of the sun is °.

An observer, 1.5 m tall, is 28.5 m away from a 30 m high tower. Determine the angle of elevation of the top of the tower from the eye of the observer.°.