Answer: [tex]31.24\ ft[/tex]
Step-by-step explanation:
Given
The height of a man is 5 ft
Distance between man and tree is 42 ft
the angle of elevation is [tex]32^{\circ}[/tex]
Suppose h is the height of the tree
[tex]\Rightarrow \tan 32^{\circ}=\dfrac{h-5}{42}\\\\\Rightarrow h-5=26.24\\\Rightarrow h=31.24\ ft[/tex]
