The sun is directly overhead. The shadow of the balloon falls 14 feet inches from the tether. Frank sights an angle of elevation of 67 degrees. Find the height of the balloon.
You wrote that the shadow ws "14 feet inches".
Is it just feet, or just inches, or 14 feet and some number of inches?
If 14 feet, from the angle: the adjacent side is 14 feet and the height is the opposite side.
Since tan = opp / adj, use tangent: tan(67) = x / 14 ---> x = 14 · tan(67) = 33.0 feet
You wrote that the shadow ws "14 feet inches".
Is it just feet, or just inches, or 14 feet and some number of inches?
If 14 feet, from the angle: the adjacent side is 14 feet and the height is the opposite side.
Since tan = opp / adj, use tangent: tan(67) = x / 14 ---> x = 14 · tan(67) = 33.0 feet