1.  Two boats are spotted on the two sides of a light house. If the angle of depression made by both the boats from top of the lighthouse is 30° and 45° and the height of the light house is 125 m then find the distance between the two boats.
A. 188.56 m
B. 1 m
C. 197.17 m
D. 250 m

Answer: Option C

Explanation:

Let AB be the light house and the two boats be at C and D

AB = 125 m

tan30° = BC/AB = x/125 = 1/3

=> x = 72.17 m


tan45° = BD/AB = y/125 = 1

=> y = 125 m


 The distance between the two boats is = x + y

= 72.17 + 125

= 197.17 m