When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she was standing 14 inches away. How high above the flat ground were her father's eyes if Mary's eyes were 35 inches above the ground?

A man is 550 feet from the base of a very tall building. The building is standing on a large flat area. Using a surveying instrument, he measures the angle between the ground and the top of the building from where he is standing. The angle is 57.1 degrees. How tall is the building?

There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A troubled swimmer is spotted by lifeguards at both stations. If the troubled swimmer is spotted at a 35° angle from the guard at station A and a 41° angle from station B (swimmer between A and B),which lifeguard is the shortest distance from the swimmer? By how many meters?

Jack and Jill were on the same side of a hill but were 34 m apart. Both were lying on the ground looking up at the peak of a hill. Jill, who is closer to the hill, determined that the angle of elevation to the top was 37 degree. Jack determined that the angle of the elevation to the top from his position was 22 degree. How high is the peak of the hill