Question

a man on the Deck of a ship 21 m above water level observed that the angle of elevation of the top of the ship Cliff is 75 degree and the angle of depression of the base of Cliff is 15 degree calculate the distance of the Cliff from the ship and the height of the Cliff. (tan 75 = 2+root3 ) ​

Answer 1

Answer:

Step-by-step explanation:

The distance is 24.25m. The height of the cliff is 56 m

Step-by-step explanation:

Find the distance between the ship and deck and the cliff:

Let the distance be x

tanθ = opp/aj

tan(30) = 14/x

x = 14/tan(30) = 42/√3 = 24.25 m

Find the height from the deck to the top of the cliff:

Let the height be y

tanθ = opp/adj

tan(60) = y/24.35

y = 42 m

Find the height of the cliff:

Height = 42 + 14 = 56 m

Answer: The distance is 24.25m. The height of the cliff is 56 m

Answer 2

here is your answer