Respuesta :
Answer:
The approximate height of the tree is 4.6 m
Step-by-step explanation:
Distance between the base of tree and arborist = 8 m
So, Base = 8 m
The angle of elevation to one tree is 30°
We are supposed to find What is the approximate height of the tree?
Using trigonometric property:
[tex]tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ}=\frac{Height}{8}\\\frac{1}{\sqrt{3}}=\frac{Height}{8}\\\frac{8}{\sqrt{3}}=Height\\4.618=Height[/tex]
So, the approximate height of the tree is 4.6 m
Answer:
13.9
Step-by-step explanation:
Use 30 60 90 Triangle formula
A= 8
B= x sq root 3
C= 2x
8 sq root of 3 = 13.85 rounded to nearest tenth 13.9
