Cora determines that the angle of elevation from her position to the top of the coconut tree is 50⁰. If the tree is 8.5 m high , how far is cora from the tree?

Respuesta :

Given:

Cora determines that the angle of elevation from her position to the top of the coconut tree is 50⁰. If the tree is 8.5 m high.

Required:

How far is cora from the tree?

Explanation:

We will draw figure as:

let distance of Cora from tree x.

We know trigonometric identities

[tex]\begin{gathered} tan\theta=\frac{Perpendicular}{Base} \\ tan50^{\circ}=\frac{8.5}{x} \\ x=7.13 \end{gathered}[/tex]

Answer:

Cora is 7.13 m far from the tree.

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