Answered

IDNLearn.com is the perfect place to get detailed and accurate answers to your questions. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

What is the approximate value of x in the diagram below? (Hint: You will need
to use one of the trigonometric ratios given in the table.)

What Is The Approximate Value Of X In The Diagram Below Hint You Will Need To Use One Of The Trigonometric Ratios Given In The Table class=

Sagot :

Edisonlara1212idn

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as [tex]\frac{opposite}{hypotenuse}[/tex]. So let's plug in known values:

[tex]sin(43) = \frac{27}{x}[/tex]

Multiply both sides by x

[tex]sin(43) * x = 27[/tex]

divide both sides by sin(43)

[tex]x=\frac{27}{sin(43)}[/tex]

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

[tex]x=\frac{27}{0.682}[/tex]

simplify the fraction

[tex]x\approx39.59[/tex]

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.