The value of x in the right triangle is 21.4
<h3>How to solve for x?</h3>
To solve for x, we use the following sine function
Sin(angle) = Opposite/Hypotenuse
So, we have:
sin(31) = 11/x
Make x the subject
x = 11/sin(31)
Evaluate
x = 21.4
Hence, the value of x is 21.4
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The first piece is 20ft. The second piece is 40ft and the third piece is 60ft.
Answer:
detail in step by step
Step-by-step explanation:
Left: ΔABC ≅ ΔDEF
DF corresponding to AC DF = 3
∠B = ∠E = 28°
Middle: DF = AC = 5
∠B = ∠E = 100°
Right: ΔLMN ≅ ΔPQR
m∠P = m∠L = 105°
QR = MN = 11.6
m∠M = m∠Q = 45°
LN = PR = 8.5