A windstorm Knocks a pole over, forming a slight angle with the ground. The pool is 18 m tall, and the top of the pool is now 15 m above the ground. What angle does the polenow form with the ground

Step-by-step explanation:

Looking at the scenario, a right angle triangle is formed.

The length of the pole represents the hypotenuse of the right angle triangle.

The distance from the top of the pole to the ground represents the opposite side of the right angle triangle.

To determine the angle formed by the pole and the ground, we would apply we would apply the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin θ = 15/18 = 0.833

θ = Sin^-1(0.833)

θ = 56.4°

  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).

step-by-step explanation: