flubri flubri
  • 22-02-2018
  • Mathematics
contestada

Can u help me figure out the reasoning for the answer pleaseee ?

Can u help me figure out the reasoning for the answer pleaseee class=

Respuesta :

Banabanana
Banabanana Banabanana
  • 22-02-2018
In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. 
XZ = XY/2 = 4/2 = 2

By the Pythagorean theorem:
YZ = √(4² - 1²) = √(16-4) = √12 = 2√3

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side: 
tan(Y) = XZ/YZ =2/2√3 = 1/√3 = √3/3

Answer is B. √3/3
Answer Link

Otras preguntas

Once Jefferson had established that people have the right and the duty to overthrow a bad government, he went on to explain how the British government had treat
help! i need this turned in quick because it's late!!
What is the theme of "The Luncheon" by Jeffrey Archer ?
How can the Swartz process be modified to work for bacteria?​
Steve buys last year's best-selling novel, in hardcover, for $22.50. This is with a 10% discount from the original price. What was the original price of the n
plzzzzzzzz HELP ASPPPP Select the correct answer. This graph represents the function f(x) =cos(4x).
Find the greatest common factor (GCF) of 64 and 72. A. 4 B. 8 C. 9 D. 12 SUE
What is the value of the expression 4x^3 – 3x when x = 6?
Complete the slope-intercept form of this line. y=-4x +
GIVING BRAINLIEST TO CORRECT ANSWERThe region labeled with the number 2 on the map above is known as the __________.A.Great BasinB.Great PlainsC.Coastal PlainsD