Question

a man standing on the Deck of a ship which is 10 m above the water level observe the angle of elevation of the top of the hills and 6 degree and angle of depression of the base of the hell is 30 degree find the distance of the hill from the ship and the height of the

Answer 1

Answer:

distance of the hill from the ship is 17.32 m

height of the hill will be 11.82 m

Step-by-step explanation:

Let AB be the ship, AB = 10 m

CD be the mountain with c as top , D as bottom and E as the point 10 m from D and is equivalent to A

In triangle ABD

tan 30 = AB/BD

=> 0.577 = 10/BD

=> BD = 17.32

=> AE = BD = 17.32

hence distance of the hill from the ship = BD = 17.32 m

In triangle AEC,

tan 6 = CE/AE

=> 0.105 = CE/17.32

=> CE = 1.82

Hence height of the hill = CD = CE + ED = 1.82 + 10 = 11.82 m

Answer 2

Answer:

height of the hill is 40 m

distance between the ship and hill is 17.32 m

Step-by-step explanation:

check the attachment provided below