Answer:
33.97 m
Step-by-step explanation:
Given that,
The height of a man = 2 m
He stands on a horizontal ground 30m from a tree.
The angle of elevation of the top of the tree from his eyes is 28°.
We need to find the distance between the man eyes to the top of the tree. Let the height of the tree be h
Using trigonometry to find such that,
[tex]\tan28=\dfrac{h}{30}\\\\h=\tan28\times 30\\\\h=15.95[/tex]
Now let us consider that the distance between the man eyes to the top of the tree is x. Using Pythagoras theorem,
[tex]x^2=30^2+15.95^2\\\\x=33.97\ m[/tex]
So, the distance between the man eyes to the top of the tree is 33.97 m.
