please show all work and answer both parts

Question

Adam and Brian are standing some distance apart on the same side of a building 50 m tall. From where Adam stands, the angle of elevation of the top of the building is 30 degrees. From where Brian stands, the angle is 60 degrees. What is the distance x between Adam and Brian?

part 2: What is the distance between brian and the building?

Answer 1

Draw and label a diagram!

A is Adam's location

B is Brian's location

C is the base of the building

tan 60° = 50 / BC → BC = 50 / tan 60º

tan 30º = 50 / AC → AC = 50 / tan 30º

AC = AB + BC

50 / tan 30º = AB + (50 / tan 60º)