SMART PEOPLE ALERT!!!

Maria is standing next to a tree. The tree cast a shadow that is 5.4 ft long. Maria's shadow is 2.25 ft long. The angle formed from the sun hitting the tree and Maria are the same.

Maria is 5 ft tall.

How tall is the tree?

Respuesta :

Finding the size of angle θ using the Trigonometry ratio

Tan θ = [tex] \frac{opposite}{adjacent} [/tex] = [tex] \frac{5}{2.25} [/tex] = 2.222...
θ = [tex] Tan^{2}(2.2222....) [/tex] = 65.8 (one decimal place)

Then using the value of θ to find the height of the tree
Tan θ = [tex] \frac{oppoaite}{5.4} [/tex]
2.22... = [tex] \frac{x}{5.4} [/tex]
[tex]x=12[/tex] feet

Ver imagen merlynthewhizz