Tree is 64.90 ft tall !
Step-by-step explanation:
We have , Alex wants to measure the height of a tree. Alex walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33. We need to find How tall is the tree . Let's find out:
According to questions we have following dimensions for a right angle triangle:
[tex]Perpendicular = ?\\Base = 100 ft\\x = 33[/tex] , where x is angle from the ground to the top of the tree
In right angle triangle ,
[tex]Tanx = \frac{Perpendicular}{Base}[/tex]
⇒ [tex]Tan33 = \frac{Perpendicular}{100}[/tex]
⇒ [tex]Perpendicular= 100(Tan33)[/tex]
⇒ [tex]Perpendicular= 100(0.649)[/tex]
⇒ [tex]Perpendicular= 64.90ft[/tex]
Therefore , Tree is 64.90 ft tall !
