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Answer:
Step-by-step explanation:
You want to solve the right triangle with B = 25.3°, a = 25.9 cm.
The sum of angles in a triangle is 180°, so the acute angles in a right triangle are complementary:
A = 90° -B
A = 90° -25.3°
A = 64.7°
Given angle B and the side adjacent, the relevant trig relations are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
These tell us ...
tan(25.3°) = b/a
b = 25.9·tan(25.3°)
b ≈ 12.2
cos(25.3°) = a/c
c = 25.9/cos(25.3°)
c ≈ 28.6°
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Rewritten by : Barada
