Choose the correct value of x AND the correct value of y from the choices below. y
45°
16
x = 8/3
x = 8
y=8V2
y=8V3
y = 8
x = 82

x = and y =

Step-by-step explanation:

Applying the trigonometric functions to the given triangle;

i. To determine the value of x;

Sin θ =

Sin 45 =

x = 16 * Sin 45

  = 16 *

x  =

ii. To determine the value of y;

Cos θ =

Cos 45 =

y = 16 * Cos 45

  = 16 *

y  =

Thus, x = and y =

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