The angle of elevation of the top of a cliff 15 meters high from a landmark is 60o. How far is the landmark from the foot of the cliff? Leave your answer in surd form
-
A.
(15sqrt{3}m) -
B.
(15sqrt{2}m) -
C.
(10sqrt{3}m) -
D.
(5sqrt{3}m)
Correct Answer: Option D
Explanation
(tan 60^{circ} = frac{15}{x} Rightarrow x = frac{15}{tan60^{circ}\
x = left(frac{15}{sqrt{3}} times frac{sqrt{3}}{sqrt{3}}right)m Rightarrow 5sqrt{3}m)