please answer the following

I give an example below

Please follow the method of the example

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Use the Pythagorean theorem to solve for the magnitude of the resultant. To solve for the direction, 8 (dR) = (Edx) + (Edy)? tan 0 = b a = V (4.31 cm)2 + (4.42 cm)2 = 4.42 cm 4.31 cm dR = V 18.58 cm2 + 19.54 cm2 tan 0 = 1.03 38.12 cm2 0 = 45.850 MAN dR = 6.17 cm Therefore, the resultant displacement is 6.17 cm 45.85'NE.Activity 4: Finding the Resultant Direction: Solve the following worded problems on a separate sheet of paper. 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2. Find the resultant of the following vectors: 10 cm North; 25 cm 30 North of East; 30 cm 60 North of WestExample 2: An ant crawls on a table top. It moves 2cm as = 2.5 cm N East, turns 3 cm 40 Northeast and finally moves 2.5 cm North. What is the ant's total displacement? da = 3 cm 40 NE Given: di = 2 cm E W 0 = 40 NE E d2 = 3 cm 40 NE dr = 2 on E d3 = 2.5 cm N Figure 9: Graph of vectors 1,2 and 3 Find: Ant's total displacement or resultant vector(dR) For this case, there are three vectors given and it is necessary to get the x and y component of d2 = 3 cm 40 NE. Solving for the y - component Solving for the x - component sin 0 = b day cos 0 = a 400 sin 0 = dax cos 0 = dax d2 d2 d2x day = (dz) (sin 40) dax = (dz) (cos 40) = (3cm) (0.64) = (3cm) (0.77) day = 1.92 cm dzx = 2.31 cm We can use the table below to show the components of the vector. Vector dx dy di = 2 cm E 2 cm 0 d2 = 3 cm 40 NE 2.31 cm 1.92 cm d3 = 2.5 cm N 0 2.50 cm Edx = 4.31 cm Edy = 4.42 cm