TWO OBSERVERS, WHO ARE 2 MILES APART ON A HORIZONTAL PLANE, OBSERVE A BALOON IN THE SAME VERTICAL PLANE WITH THEMSELVES.FIND THE HEIGHT OF THE BALOON, (A) IF IT IS BETWEEN THE OBSERVERS (B) IF IT IS ON THE SAME SIDE OF BOTH OF THEM
First, please do not use all capitals. Online it is like SHOUTING. Not only is it rude, but it is harder to understand. Thank you.
Inadequate data. Since they are all on the same horizontal plane, they are all at the same height, whatever that is.
To find the height of the balloon in both scenarios, we can use the concept of trigonometry.
(A) If the balloon is between the observers:
In this case, we can form a right triangle with the balloon at the top, one observer at the bottom left, and the other observer at the bottom right. The distance between the observers, which is 2 miles, forms the base of the triangle. The angle between the base and the line of sight from each observer to the balloon is the same. Let's call this angle "θ".
Using trigonometry, we can apply the tangent function to find the height of the balloon (h).
tangent(θ) = h / 2
h = 2 * tangent(θ)
To determine the value of θ, we need additional information such as the angles of elevation or any other details provided by the problem.
(B) If the balloon is on the same side of both of them:
In this case, we can apply similar logic as in scenario (A). However, instead of forming a triangle using the distance between the observers as the base, we form a triangle using the line connecting the observers as the base. Let's call this distance "d".
Using trigonometry again, we can use the tangent function to find the height of the balloon (h).
tangent(θ) = h / d
h = d * tangent(θ)
Again, we need additional information, such as the angle of elevation or any other details, to determine the value of θ and solve for the height of the balloon in this scenario.