The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degrees. If the goal is 8 ft tal
l, what is the distance from the ball to the goal. Draw a picture, and then solve the missing part
2 answers:
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Answer:
The diver will be 8 feet from the end of the board when he hits the water.
Step-by-step explanation:
The diver hits the water when y = 0.
To find the distance, we have to find the values of x when y = 0.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this problem, we have that:
So
Then
It is a horizontal distance, so the answer is a positive value.
The diver will be 8 feet from the end of the board when he hits the water.