out 90 civil servant , 65vwere working in the office, 50 were working in the field and 35 were working in both yhe premises. find , how many civil servant were absent?

we have,

office - 65

field - 50

but we know 35 worked both office and field

so those who worked

office only - ( 65 - 35 ) = 30

field only - (50 - 35) = 15

worked both - 35

total people working on site = 30 + 15 + 35 = 80

total absent = 90 - 80 = 10 civil servants

Step-by-step explanation:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this