Dash sees a rocket at an angle of e!evation of 11 degrees If Dash is located 5 miles from the rockets launchpad, how high is the rocket?

  about 5130 feet high

Step-by-step explanation:

The tangent ratio is defined as ...

  Tan = Opposite/Adjacent

Here, that means ...

  tan(11°) = (rocket height)/(distance to launchpad)

  rocket height = (5 mi)tan(11°)

   ≈ (5 mi)(0.19438) ≈ 0.9719 miles ≈ 5,132 feet

The rocket is about 5132 feet high.

For this, we have to assume a flat earth with no atmosphere. If Dash is standing on the ground on a round earth, the horizon is about 3 miles away, so the launchpad is over the horizon.

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Of course, you know there are 5280 feet in a mile.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).