Question

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?

Answer 1

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

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