Using SOH CAH TOA
Sin =opposite/hypotenuse
that means opposite=2
Hypotenuse=3
Cos=Adjacent/Hypotenuse
Using Pythagorean theorem
Hyp^2=Opp^2 +Adj^2
3^2 =2^2+adj^2
9=4+adj^2
9-4=adj^2
5=adj^2
Taking the square root of both sides
√5=adj
:: cos=√5/3
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Quantity of gasoline needed by a car to run 800 miles = 30 gallons
Quantity of gasoline needed by a car to run 1 mile =
= 30 ÷ 800
= 0.0375 gallons
So , to run 1 mile a car would need = 0.0375 gallons of oil
To run 700 miles the quantity of gasoline needed =
= 700 × 0.0375
= 26.25 gallons of gasoline
Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .
