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What is the height to the nearest foot of the building?

What is the height to the nearest foot of the building?-example-1

1 Answer

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To calculate the height of the building, we will use the trigonometric ratio


\tan \theta=(opposite)/(adjacent)

where the values are given


\begin{gathered} \text{opposite}=\text{ height of the building=x} \\ \text{adjacent}=120ft \\ \theta=68^0 \end{gathered}

By substituting the values, we will have


\begin{gathered} \tan 68^0=(x)/(120ft) \\ x=120ft*\tan 68^0 \\ x=120ft*2.475 \\ x=297.0ft \\ \text{approcimately to the nearest foot} \\ x=297ft \end{gathered}

Hence,

The height of the building =297ft

The correct answer is OPTION B

User Rakhi Dhavale
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