[tex]\tan 39 \textdegree = \displaystyle \frac{h}{89}\\\\89\tan 39 \textdegree = h\\\\h = 72[/tex]Answer:
72 m
Step-by-step explanation:
Hi there!
Using the given information, we can construct a diagram. Please see the attached image.
We need to solve for the height of the building, or the length of the side opposite the angle that measures 39°. Given the only other piece of information is the length of its adjacent side, which is 89 m, we can use the tangent ratio to solve for the height:
[tex]\tan \theta = \displaystyle \frac{opposite}{adjacent}[/tex]
Plug in the given values:
tan 39° = h/89
89 tan 39° = h
h = 72
Therefore, the height of the building is 72 m.
I hope this helps!
