Question on: JAMB Mathematics - 1999

A man 1.7m tall observes a bird on top of a tree at an angle of 300. if the distance between the man's head and the bird is 25m, what is the height of the tree?

A
26.7m
B
14.2m
C
\(1.7+(25\frac{\sqrt{3}}{3}m\)
D
\(1.7+(25\frac{\sqrt{2}}{2}m\)
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Correct Option: C

Hint: Make a sketch forming a right angled triangle. Let X = height required. Such that x/25 = tan 30.

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