Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
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Answer:
State space

Transition probability matrix

The transition graph is attached.
Step-by-step explanation:
The state space for this Markov chain is all the possible states that the variable can take.
In this case the student can be: Freshman, Sophomore, Junior, Senior, Graduate and Drop out

The transition probability matrix for this state space is:

The transition graph is attached.