jdjzkzofj jdjzkzofj
  • 02-03-2021
  • Mathematics
contestada

Find the length of the side x in simplest radical form with a rational denominator

Find the length of the side x in simplest radical form with a rational denominator class=

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 07-03-2021

Answer:

10√3/3

Step-by-step explanation:

To get x we will use the SOH CAAH TOA trigonometry identity

Given

Angle = 60 degrees

Hypotenuse = x

Opposite = 5

Sin theta = opposite/hypotenuse

Sin 60 = 5/x

x = 5/sin 60

x = 5/(√3/2)

x = 5 * 2/√3

x = 10/√3

Rationalize

x = 10/√3 * √3/√3

x = 10√3/3

hence the length of the side x in simplest radical form is 10√3/3

Answer Link

Otras preguntas

What is the density of the marble when the mass = 10g
Why did Mesopotamian farmers set up irrigation systems
3. I am working on my recital piece today. A. present progressive form B. past progressive form C. future progressive form D. present perfect progressive form
Which word in the sentence is an interjection? Oh, I don't know what to do anymore. A. anymore B. oh C. know D. I
What property must a solid have to be considered a crystalline solid
The period of an ocean wave is 4 seconds. What is the waves frequency?
how old am i if 200 reduced by 2 times my age is 16
what is y+16=31 and show the work
Why is 12 (m+n) equivalent to 12m + 12n
What was Sir Walter Raleigh known for? A. He was the first Englishman to live in the Americas. B. He compiled the first English dictionary. C. He designed the s