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Answer :
Final answer:
From the base of a tree, at a point 39.3, the height of the tree is approximately 47.80 ft.
Explanation:
To calculate the height of the tree, we can use trigonometry.
- Let's call the height of the tree 'h'.
- From the given information, we know that the distance from the base of the tree to the point of observation is 39.3 ft.
- We also know that the angle of elevation of the tree's top is 53.4°.
- Using the tangent function, we can set up the following equation: tan(53.4°) = h / 39.3.
- By rearranging the equation, we find that h = 39.3 * tan(53.4°).
- Using a calculator, we can evaluate h to calculate the height of the tree.
Therefore, the height of the tree is approximately 47.80 ft.
Learn more about Trigonometry here: brainly.com/question/31896723
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