Question

as viewed from Cliff 360 m above sea level the angle of depression of a ship is to 28° how far is the ship from the shore

Answer 1

To find the distance of the ship from the shore, we can use trigonometry and the concept of angle of depression. By forming a right triangle with the ship, the cliff, and a vertical line down to the shore, we can use the tangent function to calculate the distance.

Step-by-step explanation:

To find the distance of the ship from the shore, we can use trigonometry and the concept of angle of depression. Let's call the distance from the ship to the shore x. From the given information, we can form a right triangle with the ship, the cliff, and a vertical line down to the shore.

Using the tangent function, we can write:

tan(28°) = x/360

Multiplying both sides by 360, we get:

x = 360 * tan(28°)

Now, we can use a calculator to find the value of tan(28°) and then multiply it by 360 to find the distance.

Answer 2

The distance of the ship from the shore is given by:
tan θ=opposite/adjacent
θ=28°
adjacent=x
opposite=360 m

substituting the values in our equation we get:
tan 28=360/x
solving for x we get
x=360/tan 28
x=677.06 m