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tester [92]
2 years ago
14

Sports American football fields measure 100 yards long between the end zones, and are 53 1_3yards wide. Is the length of the dia

gonal across this field more or less than 120 yards? Explain.
Mathematics
1 answer:
Ann [662]2 years ago
8 0

Answer:

113 \frac{1}{3} Yards

Step-by-step explanation:

solving using  Pythagorean Theorem

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2 square root

= 113 \frac{1}{3}

Base on the explanation above we can tell that the length of the diagonal across this field is less than 120 yards.

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The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y
goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}

Therefore,

tan \theta =\frac{x}{y}

Plugging values of \theta =30^o and x=36.25, we get

tan 30^o=\frac{36.25}{y}

Plugging value of tan 30^o=0.577 in above equation, we get

0.577=\frac{36.25}{y}

On multiplying both sides by y, we get

0.577\times y=\frac{36.25}{y}\times y

0.577y=36.25

Dividing both sides by 0.577, we get

\frac{0.577y}{0.577} =\frac{36.25}{0.577}

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>
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