The angle of elevation of the top of a tree from a point 27m...
The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30o. Find the height of the tree.
A.
27m
B.
13.5 √3m
C.
13.5 √2m
D.
9√3m
Correct answer is D
From the diagram,
tan 30o = h27
h = 27 tan 30o
= 27 x 1√3
= 27√3 x √3√3
= 27√33
= 9√3m
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