Activity 3: Problem Solving
Directions: Apply the Law of Sine or the Law of Cosine to solve the following problems below.
1. Two radar stations located 20 miles apart both detect a
UFO located between them. The angle of elevation
measured by the first station is 35 degrees. The angle of
elevation measured by the second station is 15 degrees.
What is the altitude of the UFO?
15°
350
20 miles
600
4km
2. A man starts his morning walk at a point A reaches two points B
and C and finally back to A such that ZA = 60° and B = 45°, AC = 4
km in the triangle ABC. Find the total
distance he covered during his morning walk.
45°
B
pahelp po pasahan na kase bukas ty
Directions: Apply the Law of Sine or the Law of Cosine to solve the following problems below.
1. Two radar stations located 20 miles apart both detect a
UFO located between them. The angle of elevation
measured by the first station is 35 degrees. The angle of
elevation measured by the second station is 15 degrees.
What is the altitude of the UFO?
15°
350
20 miles
600
4km
2. A man starts his morning walk at a point A reaches two points B
and C and finally back to A such that ZA = 60° and B = 45°, AC = 4
km in the triangle ABC. Find the total
distance he covered during his morning walk.
45°
B
pahelp po pasahan na kase bukas ty
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Answers & Comments
Answer:
Number 1 8.7603
Reason Since the range of the sine function is [-1, 1], it is impossible for the sine value to be 1.915. There are no triangles that can be drawn with the provided dimensions.
Number 2 a = 2√6 is solution.
Reason applying with using formula Sine and consine functions.
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