Thank you for visiting Solve the right triangle ABC with angle C 90 degrees Given angle A 35 6 degrees and side b 35 9 cm find the value. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To solve the question, angle B in degrees is calculated using the sum of angles in a triangle, resulting in 54.4 degrees, not cm. The question seems to have a misunderstanding between measuring an angle and finding the length of a side. The provided options do not directly answer the posed question.
Explanation:
To find the length of side B in a right triangle ABC, where C is 90 degrees, A is 35.6 degrees, and side b is 35.9 cm, we can use trigonometric ratios. Given angle A and side b, we can solve for side a (opposite to angle A) using the tangent function, since tangent of angle A = opposite / adjacent, but we're interested in finding side c (hypotenuse).
First, find angle B using the fact that the sum of angles in a triangle equals 180 degrees. So, B = 180 - 90 - 35.6 = 54.4 degrees. However, to find the length of side B (assuming a typo in the question and that we're looking for side c), we can use the sine of angle A = opposite/hypotenuse (b/c). Sin(35.6) = 35.9/c. Solving this gives us the length of side c.
However, the question's options seem to misunderstand the task. There seems to be confusion between finding the length of a side versus the measure of angle B. If purely finding B in cm, none of the options are correct as they don't align with the required calculation process or the question's intended outcome. For clarity, angle B was found to be 54.4 degrees, but finding its length in cm would require additional steps not outlined in the available choices.
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Rewritten by : Jeany
