Solution
The question gives us a right-angled triangle with an opposite of x and an adjacent of 4. The angle of 71 degrees opposite the length x is also given. We are asked to find the value of x.
Step-by-step explanation
- The length x is the opposite because it is "opposite" the given angle. And this makes 4 the adjacent of the right-angled triangle.
- The question is easily solved by the SOHCAHTOA method. The opposite and adjacent are the variables in consideration, thus, TOA must be used from the SOHCAHTOA method.
- The TOA is defined as follows:
- With the above formula, we can proceed to solve the question as follows:
Final Answer
The value of x is 11.62 (OPTION C)