Kappy is looking up at a blue UFO hovering above a crop circle with an angle of elevation of 64°. The crop circle is 42m from Kappy. A larger, red UFO is hovering straight above Kappy, looking down at the blue UFO with an angle of depression of 12°. How far above Kappy is the red UFO? How far apart are the two UFOs?
As usual, draw a diagram. If we label
Kappy=K
Blue UFO=B
Red UFO=R
KR = 42 tan64° + 42 tan 12°
UV = 42(sec 12°)