Angle of Elevation

 The angle of elevation is the angle between the horizontal plane and oblique line from the observers eye to some object above his eye. solving angle of elevation  is used in solving that is finding distances, heights of buildings, towers etc with the help of trignometric ratios.              

         In other words, the angle above horizontal that an observer must look to see an object that is higher than the observer.called angle of elevation.

         Note: The angle of elevation is similar to the angle of depression (the angle of depression is the angle between the horizontal plane and oblique line joining the observers eye to some object beneath the line of his eye).

 

Related terms for angle of elevation

 

  • Angle

  • Horizontal Line

Angles

        An angle is definite as: where two rays or two line segments join at a common endpoint called the vertex.

       Any two straight lines meet at a point is said to form an angle.The angle between two planes is the angle between normals.

       Angle play an important role in the trade and definitions are: 

             (1) Two straight lines meeting at a point form an angle.

             (2) The angle is a gap inbetween two line which connect on oneside.

             (3) The space measured in degrees.

Horizontal Line

                A straight line on the coordinate flat surface where all points on the line have the same y-coordinate.

The angle and Horizontal line both combine to form terms in angle of elevation.

 

Angle of elevation problems

 

Below are the examples on angle of elevation -

Prob 1 : A girl is sitting in the shade under a tree that is 90 ft from the base of a tower. The angle of elevation from the girl to the top of  the tower is 35 degrees. Find the height of the windmill.

                                                     Angle of elevation

Solution:

                Here given the the girl is 90 feet from the tower

                The angle of elevation from the girl to the tower is 35 °

                Here we want to solve and  find the height of the tower

                Recall the trignometry formulas

                Here the angle and the adjacent side length is given

                So use the formula of tan

                   tan 35° = opposite / adjacent

                   tan 35° = h / 90

                   h = 90 * tan 35°

                   h = 90 * 0.4738

                   h = 42.64 feet 

Thus the height of the tower is 42.64 feet.