This is the only thing i do not understand about geometry

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = = ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

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Using the tangent ratio in the right triangle

tan42.71° = = ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = = = 162.5 m

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)