find m∠c.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠c = □°
find m∠c.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠c = □°
Answer
Explanation:
Step1: Identify the trigonometric ratio
In right - triangle (ABC) with right - angle at (B), we know the adjacent side to (\angle C) is (BC = 7) and the hypotenuse (AC=10). We use the cosine function, (\cos C=\frac{\text{adjacent}}{\text{hypotenuse}}). (\cos C=\frac{BC}{AC}=\frac{7}{10} = 0.7)
Step2: Find the measure of the angle
To find (m\angle C), we take the inverse cosine of (0.7). (m\angle C=\cos^{- 1}(0.7)) Using a calculator, (m\angle C\approx45.6^{\circ})
Answer:
(45.6)