Final answer:
The length of side B can be found using the cosine function, with the formula B = hypotenuse × cos(25°), which yields approximately 13.59 cm. This result is not listed in the provided options, indicating a potential error in the presented choices or the angle given.
Step-by-step explanation:
To find the length of side B given the hypotenuse is 15 cm and angle Θ is 25°, we can use the cosine function from trigonometry, since cosine of an angle in a right triangle is defined as the adjacent side over the hypotenuse (cos Θ = B / hypotenuse). Thus:
cos(25°) = B / 15
To solve for B, we multiply both sides by 15:
B = 15 × cos(25°)
Now, using a calculator:
B ≈ 15 × 0.9063
B ≈ 13.59 cm
Therefore, the length of side B is approximately 13.59 cm, which is not one of the options provided in the question, suggesting there may be an error in the options or the angle given. Make sure to check the question again or consult with your teacher to clarify the discrepancy.