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

Mathematics

1 answer:

garri49 [273]2 years ago

7 0

Answer:

45°

Step-by-step explanation:

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

<em>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.</em>

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 = $\frac{x}{y}$ [Remember that y = x? Then substitute into the equation]

tanθ = $\frac{x}{x}$

tanθ = 1

θ = tan⁻¹(1)

θ = 45°

Therefore, the angle of elevation is 45°

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