Question

Melissa is standing 40 ft 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 tenth. Enter your answer in the box.

Answer 1

47.7 ft.

Explanation:

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Answer 2

47.7 feet.

Explanation:

Please find the attachment.

Let h represent the height of the tree.

We have been given that Melissa is standing 40 ft from a tree. The angle of elevation from where she is standing on the ground to the top of the tree is 50°.

We know that tangent relates opposite side of right triangle with its adjacent side.

`\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}`

`\text{tan}(50^(\circ))=(h)/(40)`

`1.191753592594=(h)/(40)`

`1.191753592594* 40=(h)/(40)* 40`

`47.67014370376=h`

`h=47.67014370376`

Round to nearest tenth:

`h\approx 47.7`

Therefore, the tree is 47.7 feet tall.