30 pointss!HELP! Two students get into an argument about the correct answer.
1 answer:
Both Rhianna and Christopher were correct as they took different reference angles.
Step-by-step explanation:
Step 1:
The value of the tan of a reference angle is calculated using the above formula.
The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.
In this triangle, the hypotenuse is the side measuring 5 units.
Step 2:
When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.
So
When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.
So
So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.
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IfIf a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.
<h3>Distance of the kicker from the right post</h3>Using sine theorem
Let Left triangle=3/sinx=14/sin∝
Let Right triangle=5/sinx=y/sin(180°-∝°)
Let Sin∝°=sin(180°-∝°) sinx=sinx
Let y represent how far is the kicker
Hence:
3/5=14/y
y=5×14/3
y=70/3
y=23.3333
y=23 yards (Approximately)
Therefore If a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.
Learn more about Distance of the kicker from the right post here:brainly.com/question/26416446
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