Answer:
5√3 = b
5 = d
10√3 = a
15 = c
Step-by-step explanation:
Sin60° = opp/hyp
sin60° = b/10
10sin60° = b
5√3 = b
Cos60° = adj/hyp
Cos60° = d/10
10Cos60° = d
5 = d
Sin30° = opp/hyp
Sin30° = 5√3/a
a = 5√3/Sin30°
a = 10√3
Tan30° = opp/adj
Tan30° = 5√3/c
c = 5√3/tan30°
c = 15
The value of y will be equal to 4.61.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
The value of y will be calculated by using the Pythagorean theorem:-
a² + a² = (9√2)²
a = 9
Applying angle property in the triangle:-

9tan26 = MK
LM = 9 - 9tan26
LM = 9 - 4.38
LM = 4.62
Therefore the value of y will be equal to 4.61.
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C is your correct answer. Good luck.
Answer:
C
Step-by-step explanation:
∠ TUL + ∠ LUV = ∠ TUV , substitute values
x + 16 + 11x = 172 , that is
12x + 16 = 172 ( subtract 16 from both sides )
12x = 156 ( divide both sides by 12 )
x = 13 → C