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

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..