Question

WORTH A LOT OF POINTS. PLEASE HELP THANKSSSSSS!!!!!!!!!!

There is an error in the solution. Identify the error, then solve the problem correctly.

Answer 1

Problem 1

The error happens on the third step. The result should be 47 degrees (approximately). Refer to the steps below to see how I got that value.

`(\sin x)/(7) = (\sin 110^(\circ))/(9)\\\\\sin x = (7*\sin 110^(\circ))/(9)\\\\\sin x \approx 0.73087203838903\\\\x \approx \sin^(-1)(0.73087203838903)\\\\x \approx 46.9595500055922^(\circ)\\\\x \approx 47^(\circ)\\\\`

Make sure your calculator is in degree mode.

If I had to guess where the
`m\angle \text{x} = 73^(\circ)` mistakenly came from, it's probably from the 0.73 shown on step 3, but the student somehow lost the decimal point out front.

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Problem 2

The error happens on step 1. The sin(120) should be over top the 35 because the 120 degree angle is opposite the side length of 35.

Similarly, the sin(50) should be over the x

Each fraction involves the angle with its paired opposite side, and vice versa.

Here's one way to write the correct steps to find x.

`(\sin(120))/(35) = (\sin(50))/(x)\\\\x\sin(120) = 35\sin(50)\\\\x = (35\sin(50))/(\sin(120))\\\\x \approx 30.9593175812171\\\\x \approx 30.96\\\\`