A plane's altitude is 2,400 feet. For the pilot, the angle of depression to the base of a control tower is 13°. What is the ground distance from the plane to the base of the control tower?
Round to the nearest foot.
feet

Ground distance = 10396 feet  (nearest foot)

Step-by-step explanation:

The horizontal distance given the vertical is governed by the tangent of the angle of depression.

V/H = tan(angle of depression)

Hence

H = V / tan(angle of depression)

= 2400 / tan(13)

= 10395.5 feet

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: