Question

1) Find the missing side. Give each
answer in simplest radical form.

Answer 1

x = 10

y = 10√2

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