Question

The length of the shadow of a pillar is √3 times its height.Find the angle of elevation of the source of light

Answer 1

LINE OF SIGHT: The line of sight is a line drawn from the eye of an observer to the point in the object viewed by the observer.

ANGLE OF ELEVATION: The angle of elevation of an object viewed is the angle formed by the line of sight with the horizontal , when it is above the horizontal level.

ANGLE OF DEPRESSION:The angle of depression of an object viewed is the angle formed by the line of sight with the horizontal , when it is below the horizontal level.

•Angle of elevation and depression are always acute angles.

•If the observer moves towards the perpendicular line(Tower/ building) then angle of elevation increases and if the observer move away from the perpendicular line(Tower/ building) angle of elevation decreases.

SOLUTION:
Let BC= x m be the height of the pillar.
Let AB be the shadow of the pillar = √3x m

In ∆ABC,
tan θ = BC / AB = P/ B
tan θ = x / √3x
tan θ = 1/√3
tan θ = tan 30°

θ = 30°

Hence, the angle of  elevation of the source of light is 30°.

HOPE THIS WILL HELP YOU...

Answer 2

Hey!!


here is your answer,,


AB (height of pillar) = x unit

BC ( length of Shadow) = √3x unit.

Tan C = P/b

= AB/BC

= x/√3x

= 1/√3

= Tan 30


C = 30

Angle C = angle of elevation = 30°


Hope it helps you...

Thanks. ^-^