Which equation finds the value of x in the triangle below?
2 answers:
Answer:
<h2>B. cot70 = 12/x</h2>Step-by-step explanation:
The question lacks appropriate option Find the options below;
Answers to choose from are:
a) cot70 = x/12
b) cot 70= 12/x
c) sec 20= x/12
d) sec20 = 12/x
Given the triangle as shown in the attachment, to get the value of x, we will use one of the trigonometry ratio SOH, CAH, TOA
given ZY = x = opposite
XY = z = hypotenuse
XZ = 12 = adjacent
∠X = 20°
∠Z = 90°
Since sum of angle in the triangle is 180°, ∠X+∠Y+∠Z = 180°
20+∠Y + 90 = 180
∠Y = 180-110
∠Y = 70°
According to TOA,
tan∠X = opp/adj = ZY/XZ
tan70= x/12
since cot70 = 1/tan70
reciprocating both sides will give;
1/tan70 = 12/x
cot70 = 12/x
This gives the required expression
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