Triangles And Properties Of Triangle Question 9
Question: The base of a cliff is circular. From the extremities of a diameter of the base the angles of elevation of the top of the cliff are $ 30{}^\circ $ and $ 60{}^\circ $ . If the height of the cliff be 500 meters, then the diameter of the base of the cliff is
Options:
A) $ 1000\sqrt{3}m $
B) $ 2000/\sqrt{3}m $
C) $ 1000/\sqrt{3}m $
D) $ 2000\sqrt{2}m $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ d_2=h\cot 30{}^\circ =500\sqrt{3}, $ and $ d_1=\frac{500}{\sqrt{3}} $ Diameter $ d=500\sqrt{3}+\frac{500}{3}\sqrt{3}=\frac{2000}{\sqrt{3}}m $
BETA
