Aplane flies from base camp to lake a, a distance of 290 km at a direction of 20.0° north of east. after dropping off supplies, the plane flies to lake b, which is 170 km and 30.0° west of north from lake a. graphically determine the distance and direction from lake b to the base camp.

We can simply find components of the given directions and conveniently add them up to find the total distance.

290 km 20 deg north of east can be decomposed as :

290 x cos(20) EAST + 290 sin(20) NORTH

=272.5 E + 99.18 N

Now from this point ,

170 Km 30 deg west of north :

170 cos(30) N - 170 sin (30) E   [ east = - west]

= 147.22 N - 85 E

hence coordinates of lake b are

(272.5 - 85) E + (99.18 + 147.22)N

187.5 E +264.4 N

use right triangle property to find distance D =

D = 324.13 Km

and angle = atan(b/a) = 54.65 deg

hence lake b is at 324.13 Km 54.65 deg east of north

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.

electrical power