Question

Melissa standing 40 feet from a tree the angle of elevation from where she is standing on the ground to the top of the tree is 50° how tall is the tree round the final answer to the nearest 10th.

Answer 1

Given:

• Melissa standing 40 feet from a tree.

,

• The angle of elevation from where she is standing on the ground to the top of the tree is 50°.

Required: To determine the height of the tree.

This is achieved thus:

First, we represent the given information diagrammatically as follows:

Using the diagram above, in relation to the given angle, we can determine the height of the tree by using the tangent ratio as follows:

`\begin{gathered} \tan\theta=(opposite)/(adjacent) \\ \therefore\tan50\degree=(h)/(40) \\ h=40\tan50\degree \\ h\approx47.7ft \end{gathered}`

Hence, the answer is:

`47.7ft`