Answer: [tex]7\ feet[/tex]
Step-by-step explanation:
You need to analize the picture attached.
You can use the following Trigonometry Identity:
[tex]tan\alpha =\frac{opposite}{adjacent}[/tex]
Let call "h" the height in feet of the umbrella.
In this case you can identify that:
[tex]\alpha =16.3\°\\\\opposite=h\\\\adjacent=24[/tex]
Therefore, kwnowing these values you can substitute them into [tex]tan\alpha =\frac{opposite}{adjacent}[/tex] and solve for "h" in order to find its value.
Applying this procedure, you get that the height of this umbrella is:
[tex]tan(16.3\°)=\frac{h}{24}\\\\24*tan(16.3\°)=h\\\\h\approx7[/tex]
