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From the diagram below, if the distance between the tree and point B is 203 meters, and the angle of depression from the top of the tree to point B is 59 °, how tall is the tree in meters? (Round to the nearest whole meter)

From the diagram below, if the distance between the tree and point B is 203 meters-example-1

1 Answer

6 votes

Solution:

Given;

Let h be the height of the tree. Thus;

Using the tangent ratio;


\tan59^o=(h)/(203)

Then;


\begin{gathered} h=203\tan59^o \\ \\ h\approx338m \end{gathered}

CORRECT OPTION: A

From the diagram below, if the distance between the tree and point B is 203 meters-example-1
User Ashwin Balani
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