Download real world triangle problems

N 6-5
REAL WORLD TRIANGLE PROBLEMS
1. Calvin Butterball is waiting outside the school building for his
trigonometry test to begin. He observes that the flagpole is
casting a shadow on the ground and decides to calculate how
high the pole is. He steps off the shadow, finding it to be 22
meters long. From an almanac, he finds that the Sun’s angle of
elevation is 38º. How tall is the pole?
2. As a ship sails into harbor, the navigator sights a buoy at an
angle of 15º to the path of the ship. The ship sails 1300 meters
further and finds that the buoy now makes an angle of 29º.
A) How far is the ship from the buoy at the second
sighting?
B) What is the closest the ship will come to the buoy?
C) How far must the ship go from the second sighting point
to this closest point of approach?
N 6-5
3. The country of Parah has just launched two satellites. The
government of Noya sends their most self-reliant astronaut,
Ivan Advantage, aloft to observe the satellites. As Ivan
approaches the two satellites, he finds that one of them is 8
kilometers and the other is 11 kilometers from his. The angle
between the two (with Ivan as the vertex) is 120º. How far
apart are the satellites?