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How tall is the tower?X60°17 ft-50 ft[ ? ] ftRound to the nearest tenth.

How tall is the tower?X60°17 ft-50 ft[ ? ] ftRound to the nearest tenth.-example-1

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We can use the trigonometric tangent identity, this is:


\tan z=\frac{opposite\text{ side}}{\text{adjacent side}}

Where z = 60°

opposite side = x

adjacente side = 50ft

Then:


\begin{gathered} \tan 60=(x)/(50) \\ x=50*\tan 60 \\ x=50\sqrt[]{3}=86.6 \end{gathered}

And the tower height is:


86.6+7=93.6

Answer: 93.6 ft

User Emandret
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