Question

two men on either sides of a Lighthouse observes the angle of elevation as 30° and 60° if the Lighthouse is 25 metres high then determine the distance between the two men​

Answer 1

Answer:

The answer to this question is!!!!

Step-by-step explanation:

Given height of the Lighthouse AB = 75 m

Now in right-angled  △ABC,

BC/AB = cot 30˚

= √3

⇒   BC/75 = √3

⇒   BC = 75√3      ….(i)

Also in right-angled   △ABD,

BD/AB = cot 60˚

⇒  BD/75 = 1/√3

⇒  BD = 75/√3 × √3/√3

= 25√3                     ……(ii)

Now the distance between the two men = CD

= BC + BD

= 75√3 + 25√3

= 100√3

Hence, the distance between two men

= 100√3 m

= 173.2 m