Question

The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is 45 deg 30 deg 60 deg 90 deg

Answer 1

Your question needs a correction.

Length of the shadow of a tree √3 times the height of the tree.

Answer:

Measure of angle of elevation is 30°.

Step-by-step explanation:

According to the question, length of shadow of a tree is √3 times the original height of tree.

In the attached figure, there is a triangle like formation.

Let the angle of elevation be Ф.

Then,

= > tanФ = height / base

= > tanФ = AC / BC

= > tanФ = ( length of tree ) / ( length of shadow )

= > tanФ = ( length of tree ) / ( √3 x length of tree )        [ since length of shadow is 3 times the length of tree ]

= > tanФ = 1 / √3

= > tanФ = tan30°          [ from trigonometric properties ]

= > Ф = 30°

Hence the measure of angle of elevation is 30°.