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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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