Solve Application Problems using the Law of Sines HW p 271 37 40 Unit 0 42 Law of Sines Part 3 Application Ex 1 Two tracking stations A and B are on an eastwest line 110 miles apart A forest fire is located at F on a bearing N42 ID: 540629
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OBJ: SWBAT: Solve Application Problems using the Law of SinesHW: p 271 (37 – 40)
Unit 0 4.2
Law of
Sines
(Part 3)
ApplicationSlide2
Ex 1) Two tracking stations, A and B, are on an east-west line 110 miles apart. A forest fire is located at F, on a bearing N42oE of station A and N15oE of station B. How far is the fire from station A?
A 110 mi B
F
42
o
15
o
48
o
105
o
27
o
bSlide3
Ex 2) An observer is near a river and wants to calculate the distance across the river. He measures the angle between his observations of two points on the shore, one on his side and one on the other side, to be 28º. The distance between him and the point on his side of the river can be measured and is 300 feet. The angle formed by him, the point on his side of the river, and the point directly on the opposite side of the river is 128º. What is the distance across the river?
C
B
ASlide4
Ex 3) A flagpole is situated on a hill that makes an angle of 18° with the horizontal. How tall is the flagpole if its shadow is 14 meters when the angle of elevation of the sun is 13°?
x