Asked by Zach
a truck travels up a hill with a 12% incline. the truck has a constnt speed of 22m/s. what is the horizontal componet of the reucks velocity
Answers
Answered by
bobpursley
Ok, wondering what 12 percent means, assuming it means tangent Theta= 12/100=.12
then if you draw a right triangle, with the horizontal side 100, the opposite side 12, then the hypotenuse must be sqrt (100^2+12^2)= sqrt(10144)=101.7
so the cosine of that angle is
= 100/101.7=.983
so the horizontal velocity=22*.983
Now the big question: did you mean 12% or did you mean 12 degrees.
then if you draw a right triangle, with the horizontal side 100, the opposite side 12, then the hypotenuse must be sqrt (100^2+12^2)= sqrt(10144)=101.7
so the cosine of that angle is
= 100/101.7=.983
so the horizontal velocity=22*.983
Now the big question: did you mean 12% or did you mean 12 degrees.
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