Answer:
x = 10
y = 10√2
Step-by-step explanation:
Reference angle = 45°
Opposite = 10
Adjacent = x
Hypotenuse = y
Recall: SOHCAHTOA
✔️Apply TOA to find x:
Tan 45 = Opp/Adj
Tan 45 = 10/x
x = 10/Tan 45
x = 10/1 (tan 45 = 1)
x = 10
✔️To find y, apply SOH:
Sin 45 = Opp/Hyp
Sin 45 = 10/y
y = 10/Sin 45
y = 10/(1/√2) (sin 45 = 1/√2)
y = 10 × √2
y = 10√2
