A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?
A.
100m
B.
75√3 m
C.
100√3m
D.
200√3m
Correct Answer: 100√3m
Explanation
Tan 60 = 300/x
x =300/Tan 60
x =300/√3
x = (300/√3) x (√3/√3)
x =300√3/.....3
x = 100√3
Tan 60 = 300/x
x =300/Tan 60
x =300/√3
x = (300/√3) x (√3/√3)
x =300√3/.....3
x = 100√3