Trigonometry deals with the application of some functions so as to determine the value of a quantity. The height of the tree is 5.96 m.
The given question can be solved by the application of some trigonometric functions. Let distance from the tip of the shadow of the tree to where Aria stands be represented by s, so that;
s = 16.35 - 12.1
= 4.25 m
s = 4.25 m
Also, let the angle formed by the line from the tip of the tree with the tip of the shadow be θ, so that;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{1.55}{4.25}[/tex]
= 0.3647
θ = [tex]Tan^{-1}[/tex] 0.3647
= 20.037
θ = [tex]20.04^{o}[/tex]
The height, h, of the tree can be determined by;
Tan [tex]20.04^{o}[/tex] = [tex]\frac{h}{16.35}[/tex]
h = Tan [tex]20.04^{o}[/tex] x 16.35
= 5.9638
h = 5.96 m
Thus, the height of the tree is 5.96 m.
For more on trigonometry, visit: https://brainly.com/question/24236629
