Sin/CscCos/SecTan/Cot Word Problems Misc

Question SinΘ = 1/√2

Answer 1 – 10 45⁰

Question Sin = opposite/?

Answer 1 – 20 Hypotenuse

Question Csc30 =2/?

Answer 1 – 30 1

Question ? = hypotenuse/opposite

Answer 1 – 40 Cosecant

Question CscΘ = 2/√3

Answer 1 – 50 60⁰

Question Cos = ?/hypotenuse

Answer 2 – 10 Adjacent

Question SecΘ = 2

Answer 2 – 20 60⁰

Question ? = hypotenuse/adjacent

Answer 2 – 30 Secant

Question Cos30 = ?/2

Answer 2 – 40 √3

Question Sec30 = ?/√3

Answer 2 – 50 2

Question Tan = ?/adjacent

Answer 3 – 10 Opposite

Question Tan45 = ?

Answer 3 – 20 1

Question Cot30 = ?

Answer 3 – 30 √3

Question TanΘ = 1/√3

Answer 3 – 40 30

Question Cot45 = ?

Answer 3 – 50 1

Question

Answer 4 – 10 1

Question A man is staring at a tree at a 30 degree angle, 43 yards from the tree. How tall is the tree?

Answer 4 – 20 Tan30 = x/35 35tan30 = x X = yards

Question A man in a car is staring up to the top of his work building at a 55 degree angle. He is 57 feet away from the building. What is the height of the office building?

Answer 4 – 30 Tan55 = x/57 57tan55 = x X = feet

Question

Answer 4 – 40

Question A fisherman was out on a fishing trip when he noticed a lighthouse 100 meters away. He was wondering how tall the lighthouse was. Looking up at a 60 degree angle, how tall was the lighthouse?

Answer 4 – 50 Tan60 = x/ tan60 = x X = meters tall

Question ? Is the opposite of Secant

Answer 5 – 10 Cosine

Question True/False One can use SOHCAHTOA on any triangles

Answer 5 – 20 False; only right triangles

Question How many special triangles are there with SOHCAHTOA?

Answer 5 – 30 2; triangles and triangles

Question How many trig functions are there?

Answer 5 – 40 6; sin, cos, tan, csc, sec, cot

Question What does SOHCAHTOA stand for?

Answer 5 – 50