5 of 7 complete Ex Score 0 of 1 pt HW Score 5714 4 of 7 pts

5 of 7 complete Ex. Score: 0 of 1 pt HW Score: 57.14% (4 of 7 pts) | 8.3.4 Suppose a certain home plate on a line joining home plate and second base. (a) How far is it from the pitching rubber to first base? (b) How far is it from the pitching rubber to second base? (e) If a pitcher faces home plate, through what angle does he need to turn to face first bass? baseball diamond is a square 80 feet on a side. The pitching rubber is located 55.5 feet from e) If a pitcher faces home plate, through what angle does he need to turn to face first base? (a) The distance from the pitching rubber to first base is about feet. (Round to two decimal places as needed.)

Solution

Distance travelled by ship from San Juan in the direction of 39 deg = 18*14 = 252 nautical miles

In the triangle one side = 600 nautical miles

Applying cosine rule to find the distnace from middel path to Barbados be x:

b) x^2 = 252^2 +600^2 -2*252*600cos39

x = 434.16 nautical miles

Time taken to travel this distnace to Barbados = 434.16/18 = 24.12 hrs

a) To find angle of diversion use sine rule:

434.16/sin39 = 600/siny

siny =0.869

y = 60.42 deg

So, the angle through which ship diverts to reach Barbados = 180 -60.42 = 119.57 deg