contestada

group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent of
9
4
. What is the horizontal distance, in meters, to home plate?

Respuesta :

calculista

Answer:

17.78 meters

Step-by-step explanation:

Let

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

[tex]\theta[/tex] ----> the angle of vision

we know that

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

we have

[tex]tan(\theta)=\frac{9}{4}[/tex]

substitute

[tex]\frac{9}{4}=\frac{40}{x}[/tex]

solve for x

[tex]x=40(4)/9\\x=17.78\ m[/tex]