Question

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

Answer 1

A.

x = 30

y = 10√3

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