12 and 35 Pythagorean theorem

Hypotenuse = 37

Step-by-step explanation:

Let the base is 12 and height is 35.

We can use Pythagorean theorem to find the third side (hypotenuse or the longest side). The Pythagoras theorem can be given by :

Hence, the hypotenuse is 37 units.

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