Answer:
The distance from he ball to the goal is 11.85 feet (Approx) .
Step-by-step explanation:
As given
The angle of elevation from a soccer ball on the ground to the top of the goal is 34° .
If the goal is 8 feet tall.
Now by using the trigonometric identity .
As shown in the diagram given below
Perpendicular = AB = 8 feet
Base = BC
Put all the values in the identity .
BC = 11.85 feet (Approx)
Therefore the distance from he ball to the goal is 11.85 feet (Approx) .
The graph of the function, g(x) = 1/3 f(x), is shown below. The correct option is A
<h3>Graph of functions </h3>From the question, we are to determine the graph of the given function
The function we are to determine its graph is
g(x) = 1/3 f(x)
From the given information,
f(x) = x²
Thus,
We are to determine the graph of
g(x) = 1/3 x²
First, we will determine some points on the given function
Find g(x) when x = -3
g(x) = 1/3 x²
g(x) = 1/3 (-3)²
g(x) = 1/3 × 9
g(x) = 3
Find g(x) when x = 0
g(x) = 1/3 x²
g(x) = 1/3 (0)²
g(x) = 1/3 × 0
g(x) = 0
Find g(x) when x = 3
g(x) = 1/3 x²
g(x) = 1/3 (3)²
g(x) = 1/3 × 9
g(x) = 3
Using the points above, the graph of the function is shown below
Learn more on Graph of functions here: brainly.com/question/9525508
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