A child walks due east on the deck of a ship at 2 miles per hour. The ship is moving north at a speed of 10 miles per hour. A) Find the speed and direction of the child relative to the surface of the water.
B) Find the angle of the direction from the north. (Give an answer in radians.)

a) speed of the child relative to the surface of the water = 10.20 mph

b) θ = 0.197 rad

Explanation:

The speed of the child due east = 2 miles per hour

The speed of the ship due north = 10 miles per hour

a)To get the relative speed of the child to the surface of the water from the diagram drawn(attached)

b) Angle of the direction from the north

From the ΔABC drawn,

tan θ = opposite/Adjacent

tan θ = AB/AC

tan θ = 2/10

tan θ = 0.2

θ = tan⁻¹0.2

θ = 0.197 rad

chemical properties of thing