Which ratio represents the cotangent of angle B in the right triangle below?
1 answer:
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4
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