Answer:
option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm
Step-by-step explanation:
From my understanding, we have to find angle A, angle B and side AB.
<u>Step 1: Find side AB</u>
<em>AB can be solved through the Pythagoras theorem.</em>
<em>c² = a² + b²</em>
<em>c² = 2.7² + 1.1²</em>
<em>c² = 8.5</em>
<em>c = √8.5</em>
c = 2.9 cm
<u>Step 2: Find angle A</u>
<em>Angle A can be found through tan formula</em>
<em>tan (angle) = opposite/adjacent</em>
<em>tan (angle A) = BC/AC</em>
<em>tan (angle A) = 2.7/1.1</em>
<em>Angle A = tan inverse (2.7/1.1)</em>
Angle A = 68°
<u>Step 3: Find angle B</u>
<em>All 3 angles of a triangle are equal to 180°</em>
<em>Angle A + Angle B + Angle C = 180°</em>
<em>68 + B + 90 = 180°</em>
Angle B = 22°
option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm
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