Question

I'm having trouble with the second to last step in the fifth question.

1
1 1
x 1 1 (This is a right triangle)
1 69° 1
1-------------1
11
1. first identify a trigonometric ratio that will make it possible to find the value of x.
Answer = X is opposite to the angle 69° and 11 is adjacent to the angle 69°

2. To find the unknown​ value, which trigonometric function should be​ used?
Answer = Tangent

3. Use the tangent ratio for TAN 69°.
Answer = TAN 69° =
`(x)/(11)`

4. Multiply both sides by 11.
TAN 69° =
`(x)/(11)`
Answer = 11 · TAN 69° = x

5. Simplify
11 · TAN 69° = x
11(2.6051) ≈ x
(Blank) ≈ x
Answer = 28.7 ≈ x < -- (Rounded to the nearest tenth)

11(2.6051) ≈ x This is the part I'm having trouble with. I don't understand how to get the decimal in the parenthesis. I've tried dividing, multiplying, multiplying and then dividing. I just can't get the correct answer. I think I'm suppose to use a geometry calculator and input TAN then multiply(or divide I don't know), but I don't have one right now so I need to know if there's any way I could get the same answer with a regular calculator.

Answer 1

Explanation:

let me asnswer it on paper hold on