Special Right Triangles Guided Practice
Find the values of x and y.
A. x=30, y=10V3
B. x= 10, y=30V3
C. x= 30 V3, y=10
D. x=10V3, y=30
y
30°
2013
Need help ASAP

A.

x = 30

y = 10√3

Step-by-step explanation:

Reference angle = 30°

Opposite = y

Adjacent = x

Hypotenuse = 20√3

✔️To find x, apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = x/20√3

20√3 × Cos 30 = x

20√3 × √3/2 = x (cos 30 = √3/2)

(20√3 × √3)/2 = x

(20 × 3)/2 = x

60/2 = x

30 = x

x = 30

✔️To find y, apply SOH:

Sin 30 = Opp/Hyp

Sin 30 = y/20√3

20√3 × Sin 30 = y

20√3 × ½ = y (sin 30 = ½)

(20√3 × 1)/2 = y

(20√3)/2 = y

10√3 = y

y = 10√3

answer: the first one

step-by-step explanation: use a calculator and divide the minutes by the dollars.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2