Problem

The angle of elevation to a nearby tree from a point on the ground is measured to be \( 74^{\circ} \). How tall is the tree if the point on the ground is 54 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

Answer

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Answer

\( h \approx 203.0 \)

Steps

Step 1 ：\(\tan(74^{\circ}) = \frac{h}{54} \)

Step 2 ：\( h = 54 \tan(74^{\circ}) \)

Step 3 ：\( h \approx 203.0 \)

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