Question

The red thing at the top is a right angle. Find the missing side lengths and leave answers as radicals in simplest form ILL GIVE BRAINLIEST

Answer 1

Answer:

A. x = 13

y = (13√3)/3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = (26√3)/3

Adjacent = x

Opposite = y

✔️Apply CAH to find x:

Cos 30 = Adj/Hyp

Cos 30 = x/(26√3)/3

√3/2 = x*3/(26√3) (cos 30 = √3/2)

√3/2 = 3x/(26√3)

Cross multiply

2*3x = (26√3)*(√3)

6x = 26*3

6x = 78

x = 78/6

x = 13

✔️Apply SOH to find y:

Sin 30 = Opp/Hyp

Sin 30 = y/(26√3)/3

Sin 30 = y*3/(26√3)

½ = 3y/(26√3) (sin 30 = ½)

Cross multiply

2*3y = (26√3)*1

6y = 26√3

Divide both sides by 6

y = (26√3)/6

y = (13√3)/3