The CN Tower in Toronto, Canada, is the tallest free-standing structure in North
ID: 2911077 • Letter: T
Question
The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on the observation deck, 1150 ft above the ground, wants to determine the distance between two landmarks on the ground below. She observes that the angle formed by the lines of sight to these two landmarks is 43 degrees. She also observes that the angle between the vertical and the line of sight to one of the landmarks is 62 degrees and to the other landmark is 54 degrees. Find the distance between the two landmarks.
Explanation / Answer
distance 1 = 1150 sec 62
= 2449.56 feet
distance 2 = 1150 sec 54
= 1956.497 feet
now applying law of cosines to find the distance between 2 landmarks
distance = sqrt [ 2449.56^2 + 1956.497^2 - 2 ( 2449.56 * 1956.497 cos 43 ) ]
distance = 1678.72
distance between two landmarks = 1678.72 feet