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For Exercise 38, find each length.

38. AC

Step-by-step explanation:

use the below to remember how to use trig functions ( copy this to your computer  for use later )

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

We can use TOA to find AC

Tan(31) = Opp / 9

9* Tan(31) = Opp   ( Opp = AC)

5.407745571 = AC

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you