Question

Mr. Colin is a Navy officer who is tasked with planning a coup on the enemy at a certain date. Currently he is inspecting the area standing on top of the cliff. Agent Dev is on a chopper in the sky. When Mr. Colin looks down below the cliff towards the sea, he has Bhawani and Amar in boats positioned to get a good vantage point. Bhawani’s boat is behind Amar’s boat.


(iv) If angle of depression of Colin’s to Bhawani is 30° , what is the distance of Amar’s boat from the Bhawani’s boat?
(a)√3h/2
(b) ℎ/√3
(c) 2ℎ/√3
(d) √3/h

(v) If angle of depression of Dev to Colin is 60° , what is the height of Dev from base of hill?
(a) h
(b) 2h
(c) 3h
(d) 4h

Answer 1

Answer:

hjjakmababhjoslmsbwnwna

Answer 2

Answer:

Distance between Aman's and Bhawani's boat = 2h/√3

Height of Dev from the base of hill  = 3h

Step-by-step explanation:

PART I

DISTANCE OF BHAWANI FROM THE BASE OF THE HILL

Tan 30 = height/base

1/√3 = h/b

√3h = b

DISTANCE OF AMAN FROM THE BASE OF THE HILL

Tan 60 = height/base

√3 = h/b

h/√3 = b

DISTANCE BETWEEN OF Aman's and Bhawani's boat's

√3*h -(h/√3)

h(√3-1/√3)

h(3-1)/√3

2h/√3

PART II

Tan 60 =height/base

√3 = x/base.

(here we will assume height to be x)(because height in the case   of Aman and Bhawani were same but in dev's case height is different that's why we have to assume something other than h  )

base =  √3h

√3 = x/√3h

√3h*√3 = x

x = 3h