Question

Please help me on this geometry question. Use a trig function to find the missing side to the nearest 10. Please show step by step

Answer 1

x = 42.9

Explanation:

We can let 34 represent the reference angle. Using this angle, we see that the side measuring 24 units is the opposite side and the side measuring x is the hypotenuse.

Thus, we can use the sine trig function which is

`sin(angle)=(opposite)/(hypotenuse)`

We plug in what we have into the equation above and solve for x:

`sin(34)=(24)/(x)\\ x*sin(34)=24\\x=(24)/(sin(34))\\ x=42.9189996\\x=42.9`