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 32.60 rounded to the nearest tenth
A pH of 2 indicates a(n) _____.
Write the number 307 as a sum of hundreds tens and ones
What was one of Kublai Khan’s achievements?
When on November 11th, 1918, an armistice was signed to end World War I, the war's biggest losers were _____ because their governments ceased to exist. a. the
classify wine and beef stew as homogeneous or heterogeneous.
Which of the following would be considered an example of a human resource? A. climate changes B. industrial resources C. intellectual contributions D. natural r
Which of the following statements about the spread of Christianity is false?
The earths diameter through the equator is about 8000 miles. What is the earths estimated diameter written as a whole number multiplied by a power of ten
How would you experiment to find out how much water this plant type needs for optimal growth