In the right triangle shown, m V = 60° and UV = 18. 60° How long is UW?
2 answers:
Answer:
Step-by-step explanation:
There are two case I used, since we are not give diagram, so I assumed that U can be the right angle and also assume that W can be the right angle so, I used both assumption to solve, check attachment
1. Using Trigonometry
Assuming that U is the right angle
Tan θ = opp / adj
Tan 60 = UW / UV
Tan 60 = UW / 18
UW = 18 × Tan60
UW = 18 × √3
UW = 18√3
UW = 31.18 unit
Also, assume that W is right angle
Using trigonometry
Sinθ = opp / hyp
Sin60 = UW / UV
Sin60 = UW / 18
UW = 18 × sin60
UW = 18 × √3/2
UW = 9√3
UW = 15.59 unit
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