Download Trigonometry Applications 1) A bridge is to be built across a small

Trigonometry Applications
1) A bridge is to be built across a small lake from B to C. The bearing from B to C is S 40o W. From a point A, 100
meters from B, the bearings to B and C are S 74o E and S 28o E, respectively. Find the distance across the lake
from B to C.
2) Two planes leave an airport at approximately the same time. One is flying at 425 mph at a bearing of
N 5o W, and the other is flying at 530 mph at a bearing of N 67o E. Determine the distance between the planes
after flying for 2 hours.
3) From a certain distance, the angle of elevation to the top of a building is 17o. At a point 50 meters closer to the
building, the angle of elevation is 31o. Approximate the height of the building.
4) Pete flies a helicopter to drop supplies to stranded flood victims. He will fly from the supply depot, S, to the
drop point, P. Then he will return to the helicopter’s base at B as shown. The drop point is
15 mi from the supply depot. The base is 21 mi from the drop point. It is 33 mi between the supply depot and
the base. Because the return flight to the base will be made after dark, Pete wants to know in what direction to
fly. What is the angle between the two paths at the drop point?
5) The player in center field is playing approximately 330 feet from the television camera that is behind home plate.
A batter hits a fly ball that goes to the wall 420 feet from the camera. Approximate the number of feet the
center fielder has to run to make the catch if the camera turns 6o to follow the play.
6) A retractable awning lowers at an angle of 50o from the top of a patio door that is 7 feet high. Find the length x
of the awning if no direct sunlight is to enter the door when the angle of elevation of the sun is greater than 70o.