Answer: D. 12.5 FT
Step-by-step explanation:
Let the height of tree be x.
Assume tree is standing vertical to the ground, then it will make right triangle with the shadow of the tree.
Given: The length of the shadow: 20 feet
Using trigonometry,
[tex]\tan\thetha=\dfrac{\text{side opposite to }\theta}{\text{Side adjacent to }theta}\\\\\Rightarrow\ \tan32^{\circ}=\dfrac{x}{20}\\\\\Rightarrow\ x=\tan32^{\circ}\times20\\\\\Rightarrow\ x=0.6248693519\times20\\\\\Rightarrow\ x=12.497387038\approx12.5\ ft.[/tex]
Hence, the height of tree= 12.5 ft.
