Question

Once I get it wrong, I can’t redo the same question again and I have to go onto the next question. I only have 5 questions but if I get 1 wrong I have to keep on answering questions til I get 5 questions right. So far I got 4 out of 5 correct. So someone please help me. I’ve been trying to get 5 questions correct all day. This question is worth 50 points

Answer 1

`\Huge\boxed{x=50.3}`

Explanation:

Hello There!

Once again here are the Trigonometric Ratios

Sin = opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = opposite divided by adjacent

We need to find the measure of angle O

We are given the opposite side length (89) and the adjacent side length (74)

This corresponds with tangent so we are going to use tangent to solve for x

Now we create an equation: (remember tangent = opposite divided by adjacent)

`tan(x)=(89)/(74) \\(89)/(74) =1.202702703\\`

now we have

`tan(x)=1.202702703`

once again we want to isolate the variable (x)

To do so we need to get rid of tan by taking the inverse of tan (arctan^-1) and applying that to each side

`arctan^-^1(tan(x))=x\\arctan^-^1(1.202702703)=50.25780917`

finally we want to round to the nearest tenth

50.25

its a five so we raise the 2 to a 3

and we're left with

x = 50.3