A surveyor is measuring the distance across a small lake He

A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 140 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 65degree. What is the distance between the piling and the pier to the nearest foot? 12) A building 190 feet tall casts a 100 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person\'s eyes are level with the top of the building.)

Solution

solution:- given angle = 65 , Height = 140\'

tan 65 = h/d

h = d tan 65

140 = d tan 65

d = 140/tan 65 = 65.283\'

Hence the distance is 65.283\'