Question

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?

Answer 1

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?

Step-by-step explanation:

We will draw figure as:

let distance of Cora from tree x.

We know trigonometric identities

`\begin{gathered} tan\theta=(Perpendicular)/(Base) \\ tan50^(\circ)=(8.5)/(x) \\ x=7.13 \end{gathered}`

Answer:

Cora is 7.13 m far from the tree.

​