Suppose c = 5 and A = 85 degrees.

a = 4.98

b = 0.44

B = 5

Concept:

Here, we need to know the idea of the Pythagorean theorem and basic trigonometry ratios.

Pythagorean theorem: a² + b² = c²

Trigonometry ratios:

Solve:

**Disclaimer** The question did not clarify which place did it required to be rounded to as some of the values are infinite. I rounded to the hundredth place. If it is fine, then you may refer to my answers. If it is not, then you may tell me and I'll redo it.

Given information

c = 5

A = 85°

PART ONE: Find the value of [a]

sin (A) = Opposite / Hypotenuse = a / c

sin (85) = a / 5

a = 5 · sin (85)

a = 4.98

PART TWO: Find the value of [b]

cos (A) = Adjacent / Hypotenuse = b / c

cos (85) = b / 5

b = 5 · cos (85)

b = 0.44

PART THREE: Find the value of [B]

Since the triangle as a right angle sign, meaning it is a right triangle.

Therefore, the corner angle is 90°.

90 - 85 = 5°

Hope this helps!! :)

Please let me know if you have any questions

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step-by-step explanation: