some applications on trigonometry
TRANSCRIPT
Done By:Name: Gourisankaran PillaiClass: 10 ESchool: Christ Nagar Central School
Trigonometry is a branch of mathematics
that studies triangles and the relationships
between their sides and the angles between
these sides.
In this topic we shall make use of Trigonometric Ratios to
find the height of a tree, a tower, a water tank, width of a river, distance of ship from
lighthouse etc.
Line of Sight
Horizontal
The angle which the line of
sight makes with a
horizontal line drawn away
from their eyes is called the
angle of Elevation of
aeroplane from them.
Angel of Elevation
If the pilot of the aeroplane looks downwards at any object on the ground then the Angle between his line of sight and horizontal line drawn away
from his eyes is called ‘Angle of Depression.’
Angle of Depression
Horizontal
Angle of
Depression
Now let us Solve some problem related to
Height and Distance
Sol:- Let AB be the tower and the angle of elevation from point C (on ground) is 30°.
In ΔABC,
.
Therefore, the height of the tower is .
Sol:- It can be observed from the figure that AB is the pole.In ΔABC,
Therefore, the height of the pole is 10 m.
Sol:- Let K be the kite and the string is tied to point P on the ground.In ΔKLP,
.
Hence, the length of the string is .