Question on: JAMB Mathematics - 2007
A man 40m from the foot of a tower observes the angle of elevation of the tower to be 30o, Determine the height of the tower
A
40m
B
40\(\sqrt{3}\)m
C
20m
D
\(\frac{40\sqrt{3}}{3}\)
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Correct Option: D
tan 30o = \(\frac{h}{40m}\)
h = 40 tan 30o
= 40 x \(\frac{1}{\sqrt{30}}\)m
by rationalizing
h = \(\frac{40\sqrt{3}}{3}\)m
h = 40 tan 30o
= 40 x \(\frac{1}{\sqrt{30}}\)m
by rationalizing
h = \(\frac{40\sqrt{3}}{3}\)m
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