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: Option C
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