The height of the given tree is required.
The height of the tree is 22.57 feet.
[tex]\theta[/tex] = Angle of elevation = [tex]62^{\circ}[/tex]
s = Length of shadow = 12 feet
t = Tree height
From the trigonometric ratios we get
[tex]\tan \theta=\dfrac{t}{s}\\\Rightarrow t=s\tan\theta\\\Rightarrow t=12\times \tan62^{\circ}\\\Rightarrow t=22.57\ \text{feet}[/tex]
The height of the tree is 22.57 feet.
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