triangle AB θC ABC,^ ∠B = 90^0. Therefore^ ∠A +^ ∠C = 90^0. Let^ ∠A = 30^0 , therefore sin 30^0
= ⎜⎛⎝^12 ⎞⎠⎟. Since^ ∠A +^ ∠B = 90^0 ,^ ∠B = 60^0. Therefore sin (90^0 – 30^0 ) = sin 60^0 which is
hypotenuse
opposite
AC
BC⎟=
⎠
⎜ ⎞
⎝
⎛ , which is cos 30 (^0) in which case BC becomes the adjacent side and AC is
the hypotenuse. This logic may be applied to other trigonometic ratios too.
- Line of sight
An imaginary line which is formed when a person is looking at an object without
either looking up or down is said to be the line of sight or line of vision. - Angle of elevation
When an object above the line of sight is to be seen, the line of sight which is raised
by an angle from the horizontal level is known as the angle of elevation. - Angle of depression
When an object below the line of sight is to be seen, the line of sight which is lowered
by an angle from the horizontal level is known as the angle of depression.
All the three concepts - line of sight, angle of elevation and the angle of depression
may be taught by an embossed diagram depicting the nature of the three.
ΣNx^2 - ⎜⎝⎛NΣx⎠⎞^2 ⎟