A diving company is looking for a shipwreck 35 m below the surface of the ocean. The command ship locates the wreck at 55 degrees South of West at an angle of depression of 18 degrees reference the surface. The command ship notifies the diver, who is located 27 degrees South of East at an angle of depression of 30 degrees. How far must the diver travel to arrive at the wreck?

The distance between the diver and the shipwreck is approximately 130.76 m

Explanation:

The depth of the shipwreck below the surface of the water = 35 m

The location of the wreck = 55° South of West

The angle of depression of the wreck = 18°

The location of the diver = 27° South of East

The angle of depression of the diver = 30°

The distance of the wreck from the ship = 35 m/(sin(18°)) ≈ 113.26 m

The horizontal distance of the wreck from the ship = 35 m/(sin(18°)) × (cos(18°)) ≈ 107.72 m

The x-coordinate of the shipwreck, x₁ = 107.72 m × cos(55°) ≈ 61.79

The y-coordinate of the shipwreck, y₁ = 107.72 m × sin(55°) ≈ -88.24

The z-coordinate of the shipwreck, z₁ = -35

The distance of the diver from the ship = 35 m/(sin(30°)) = 70 m

The horizontal distance of the diver from the ship = 70 m × cos(30°) ≈ 60.62 n

The x-coordinate of the diver from the ship, x₂ = -60.62 m × cos(27°) ≈ -54.013

The y-coordinate of the diver from the ship, y₂ = 60.62 × sin(27°) ≈ -27.52

The z-coordinate of the diver from the ship, z₂ = -35

The distance between the diver and the shipwreck, 'd', is given by the distance between two points given the x, y, z coordinates as follows;

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Therefore, we have;

d = √((61.79 - (-54.013))² + (-88.24 - (-27.52))² + (35 - 35)²) ≈ 130.76

The distance between the diver and the shipwreck, d ≈ 130.76 m.

gravititional force is a force that is acting around you, it is non-contactable and it is a force that pulls you to the core of the earth.

brainliest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: