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math question?
Ryan is standing at the top of an observation tower. He points his flashlight toward the horizon then slowly lowers it until he sees a cat. The angle of depression from his flashlight to the cat is 60º. Ryan continues to lower the beam of the flashlight until he sees a dog at an angle of depression of 75º. What are all the side lengths of the triangle.
1 Answer
- Daniel HLv 56 months ago
Think we're missing some info. You need at least 2 numbers to solve a triangle.
What is the other number? height of tower, distance of cat to tower, distance of dog to tower, distance of cat to dog, or ...?
o is height of tower
a is distance of cat to tower
b is distance of dog to tower
sin(60) = o/h
h = o/sin(60)
cos(60) = a/h
h = a/cos(60)
o/sin(60) = a/cos(60)
a = o cot(60)
same calculation different angle
b = o cot(75)
If we knew how tall the tower was we could solve a and b or vice-versa.
