Respuesta :
C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.
- AB=8ft
2 ft above
- AB=10ft
- BC=400ft
Now
Angle be x
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]
[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]
[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]
[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]
[tex]\\ \rm\Rrightarrow X=1.432°[/tex]
