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Naddik [55]
3 years ago
6

Rick, John, and Kevin are playing catch. Rick throws the ball to John, John throws the ball to Kevin, and Kevin throws the ball

to Rick. John knows that the distance between him and Rick is 20 yards and the distance between him and Kevin is 20 yards. He also knows that the angle created between Rick, himself, and Kevin has a measure of 30°. Which person is making the shortest throw?
Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

Kevin and Rick

Step-by-step explanation:

RJ - 20 y

JK - 20square root 3

M<RJK - 30 y

Let’s find the length segment KR by using law of cosines

KR^2 = RJ^2 + JK^2 - 2(RJ)(JK)cos(<RJK)

KR^2=400

KR=20 yards

Kevin and Rick throwing same distance, but John’s distance is longer.

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Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
4f5c24a39cc9fe2c66cb13edb93a2404.png
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<img src="https://tex.z-dn.net/?f=tanx%5E%7B2%7D%20-%5Cfrac%7B1%7D%7B3%7D%20%3D0" id="TexFormula1" title="tanx^{2} -\frac{1}{3}
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These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

Learn more on trig function here: brainly.com/question/24349828

#SPJ2

6 0
1 year ago
Read 2 more answers
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