Question

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

Answer 1

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