On the southeast corner of millennium park, there is a garden walk. it is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, show the row along which flowers will be planted. If a side measures 90 feet and side b measures 120 feet how many feet of flowers will be planted along side C, the hypotenuse of the triangle? Show your work and explain your reasoning.

150 ft

Step-by-step explanation:

Apply pythagorean theorem to find length of hypotenuse, side c:

Pythagorean theorem is given as:

c² = a² + b²

a = 90 ft

b = 120 ft

c = hypotenuse

Plug in the values

c² = 90² + 120²

c² = 22,500

Take the square root of both sides

c = √22,500

c = 150 ft

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