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ollegr [7]
2 years ago
10

Group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent o

f
9
4
. What is the horizontal distance, in meters, to home plate?
Mathematics
1 answer:
dimulka [17.4K]2 years ago
5 0

Answer:

17.78 meters

Step-by-step explanation:

Let

x ----> the horizontal distance, in meters, to home plate

\theta ----> the angle of vision

we know that

tan(\theta)=\frac{40}{x} ----> by TOA (opposite side divided by the adjacent side)

we have

tan(\theta)=\frac{9}{4}

substitute

\frac{9}{4}=\frac{40}{x}

solve for x

x=40(4)/9\\x=17.78\ m

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2 years ago
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8 0
2 years ago
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8 0
2 years ago
In a data set with a range of 55.4 to 105.4 and 400 observations, there are 176 observations with values less than 86. Find the
IrinaVladis [17]

<u>ANSWER: </u>

In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.

<u>SOLUTION: </u>

Given, in a data set with a range of 55.4 to 105.4 and 400 observations.

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We know that, percentile formula = \frac{\text {number of observations below the required number}}{\text {total number of observations}} \times 100

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