Final answer:
The correct answer to the trigonometry question is option (b) 48.7°, which involves using trigonometric identities and the Law of sines or Law of cosines.
Step-by-step explanation:
The correct answer is option (b) 48.7°. This question seems to reference trigonometric identities and the Law of sines and Law of cosines, which are mathematical formulas used to calculate angles and lengths in right and non-right triangles. To solve such a question, you often need to have a given angle or side length and apply these laws correctly. Without the full context or complete question, it is challenging to provide a step-by-step explanation, but typically you would isolate the variable you need to find (in this case the angle) and use the known trigonometric values or identities to calculate it.
To find the value of x, we need to use the inverse sine function. Since sine is a trigonometric function that relates the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle, the value of x will be an angle in degrees.Given that sin(x) = 51, we can first determine if the value of x falls within the range of possible options. According to the given options, the value of x can be either 10°, 15°, or 54°. To further narrow down the options, we can use the reference information provided. It states that 29° is approximately equal to 2 times (30.05° - 14.5°), which gives us approximately 31.1°. Since 31.1° is not one of the given options, the correct answer must be 54°.