During a nature trip, Joni, Billy and Larry documented the location of an eagles nest. From point a, the campers observed the Eagles best on tip of a tree directly across a deep stream. The angle of elevation to the nest from point a is 35 degrees. The campers walked 42 m downstream to point b and observed that the straight line to the base of the tree made an angle of 30 degrees with the path along the bank of the river. How high is the eagles nest above the ground?

Answer 1

h / Da = tan(35º)

Da / 42 m = tan(30º)

h = 42 m * tan(35º) * tan(30º)

Answer 2

74