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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 and the angle of depression from the top of the tree to point B is 59 how tall class=

Respuesta :

Solution:

Given;

Let h be the height of the tree. Thus;

Using the tangent ratio;

[tex]\tan59^o=\frac{h}{203}[/tex]

Then;

[tex]\begin{gathered} h=203\tan59^o \\ \\ h\approx338m \end{gathered}[/tex]

CORRECT OPTION: A

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