Maggie is rock climbing. After reaching the summit, she descends 14 feet in 2\frac{1}{3} minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes? (A) –24 feet

(B). –32 feet

(C) –40 feet

(D) –48 feet

It is given Maggie descends 14 feet in 2  minutes .

Or Maggie descends 14 feet in  minutes

We need to find how much Maggie will descent in 8 minutes. Let Maggie descends x feet in 8 minutes.

We can form a proportion with given information's.

Cross multiplying

Solving for x , x=48 ft.

Maggie in relation to the summit after 8 minutes will be at 48 ft.

Step-by-step explanation:

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