7. In triangle A B C, angle C=90^{circ}, a=21.4 mathrm{~cm}, and c=42.8 mathrm{~cm}. Draw a diagram to represent this triangle. Calculate angle B to the nearest degree. (K-2)

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Accepted Answer

Step:1 ：Given a right triangle triangle ABC with angle C = 90^circ, a = 21.4 text{ cm}, and c = 42.8 text{ cm}.Step:2 ：Since it&#x27;s a right triangle, we can use the sine function to find angle B. The sine function is defined as sin(text{angle}) = frac{text{opposite side}}{text{hypotenuse}}. In this case, sin(B) = frac{a}{c}.Step:3 ：Calculate the value of sin(B): sin(B) = frac{21.4}{42.8} = 0.5.Step:4 ：Use the inverse sine function (arcsin) to find angle B: angle B = arcsin(0.5) approx 30^circ.Step:5 ：(boxed{angle B approx 30^circ})

Answer

Step: 1 ：Given a right triangle triangle ABC with angle C = 90^circ, a = 21.4 text{ cm}, and c = 42.8 text{ cm}.Step: 2 ：Since it&#x27;s a right triangle, we can use the sine function to find angle B. The sine function is defined as sin(text{angle}) = frac{text{opposite side}}{text{hypotenuse}}. In this case, sin(B) = frac{a}{c}.Step: 3 ：Calculate the value of sin(B): sin(B) = frac{21.4}{42.8} = 0.5.Step: 4 ：Use the inverse sine function (arcsin) to find angle B: angle B = arcsin(0.5) approx 30^circ.Step: 5 ：(boxed{angle B approx 30^circ})

7. In $△ A B C, ∠ C = 90^{\circ}, a = 21.4 cm$ , and $c = 42.8 cm$ . Draw a diagram to represent this triangle. Calculate $∠ B$ to the nearest degree. (K-2)

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Popular Problems

7. In △ABC,∠C=90∘,a=21.4 cm, and c=42.8 cm. Draw a diagram to represent this triangle. Calculate ∠B to the nearest degree. (K-2)

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Popular Problems

7. In $△ A B C, ∠ C = 90^{\circ}, a = 21.4 cm$ , and $c = 42.8 cm$ . Draw a diagram to represent this triangle. Calculate $∠ B$ to the nearest degree. (K-2)