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What is the height of the statue, x? Round to the nearest hundredth if necessary.8.98 m4.61 m3 m664 m6.25 m

What is the height of the statue, x? Round to the nearest hundredth if necessary.8.98 m-example-1
User Stralsi
by
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1 Answer

2 votes

Given:

The height of statue is x

The right angles triangle is shown where angle of elevation is 66 degrees and base is 4 m

To find: x

Using trigonometric ratio in the right angled triangle,


\tan 66^(\circ)=\frac{perpendicular}{\text{base}}

Here, perpendicular=x and base =4 m


\tan 66^(\circ)=(x)/(4)
\begin{gathered} x=\tan 66^(\circ)*4 \\ =2.246*4 \\ =8.984 \end{gathered}

Thus, height of statue is 8.98 m

Hence, option (1) is correct.

User Monzurul Shimul
by
8.2k points

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