Question

I need help w this plz thanks

Answer 1

Answer:

x = 4√7

y = 8√7

Step-by-step explanation:

Reference angle = 60°

Opposite = 4√21

Hypotenuse = y

Adjacent = x

To find x, apply TOA

Tan 60 = Opp/Adj

Tan 60 = (4√21)/x

x * Tan 60 = 4√21

x = (4√21)/Tan 60

x = (4√21)/√3 (tan 60 = √3)

Rationalize

x = (4√21*√3)/√3*√3

x = (4√63)/3

x = (4*3√7)/3

x = 4√7

To find y, apply SOH:

Sin 60 = Opp/Hyp

Sin 60 = (4√21)/y

y*Sin 60 = 4√21

y = 4√21/sin 60

y = (4√21)/(√3/2)

y = ✓(4√21 × 2/√3)

y = (8√21)/√3

y = 8√7