Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

7√3

Step-by-step explanation:

Given the following information,

Short = 7 = Opposite

Angle of elevation =30 degrees

Required

Long (Adjacent)

Using SOH CAH TOA identity

tan theta = 7/long

tan 30 = 7/long

long = 7/tan30

long= 7/1/√3

long = 7√3

Hence the long is 7√3

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

the answer is: the length is 5/6 yards.

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step-by-step explanation: