Question

A man on the deck ownership 14m above water level observed that the angle of elevation of the top of a cliff 60 degree and the angle of depression of the base of the cliff is 30° calculate the distance of the club from the ship and the height of the cleft

Answer 1

Question:

A man on the deck of ship 14m above water level observed that the angle of elevation of the top of a cliff 60 degree and the angle of depression of the base of the cliff is 30° calculate the distance of the cliff from the ship and the height of the cliff.

Answer:

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