Given:
The angle from the location of surveyors is 63 degrees and the distance to the bottom of the building is 70 ft.
To find:
The height of the building
Solution:
We can solve the question, using the trigonometric function tangent.
From the figure, the tangent of the angle is:
[tex]\begin{gathered} \tan 63=\frac{x}{70} \\ 1.96=\frac{x}{70} \\ x=70\times1.96 \\ x=137.2 \end{gathered}[/tex]
Thus, the height of the building is approximately 137 ft.
Thus. option B is correct.
