Question

What would be the angle of elevation of a tree from the ground, if the height of the

tree and its shadow are equal in length?

Answer 1

45°

Explanation:

The diagram for this question has been attached to this response. Please check.

The angle of elevation is the angle between a horizontal line from a viewer and the line of sight to an object being viewed which is above the horizontal line.

From the diagram;

θ is the angle of elevation

x = height of the tree

y = length of the shadow of the tree = x

Therefore,

tanθ =
`(x)/(y)` [Remember that y = x? Then substitute into the equation]

tanθ =
`(x)/(x)`

tanθ = 1

θ = tan⁻¹(1)

θ = 45°

Therefore, the angle of elevation is 45°