A5'6" person walking down the street notices his shadow. if the angle of elevation from the tip of the shadow to the sun is 60°, what is the length of the shadow(round to 2 decimal places)?
a) 3.18 feet
b) 3.23 feet
c) 8.66 feet
d) 11.00 feet

The length of the shadow is 3.17 feet .

Step-by-step explanation:

Given as :

The height of the person walking on street = H = 5'6''

∴ 12" = 1 '

So, 6" = × 6 = 0.5'

I.e H = 5.5 feet

The angle of elevation of from tip of shadow to sun = Ф = 60°

Let The length of the shadow = X feet

Now, From figure'

Tan angle =

Or, Tan Ф =

Or, Tan 60° =  

Or, Tan 60° =  

Or, 1.732 =

Or, X =

∴    X = 3.17 feet

So, The length of the shadow = X = 3.17 feet

Hence, The length of the shadow is 3.17 feet . Answer

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i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: