Question

Find the value of x & y.

Answer 1

Answer:

x = 77.56 cm

y = 69.71 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Cos = Adjacent/Hypotenuse

so ...

... cos(64°) = (34 cm)/x

... x = (34 cm)/cos(64°) ≈ 77.56 cm

___

It also reminds you ...

... Tan = Opposite/Adjacent

so ...

... tan(64°) = y/(34 cm)

... (34 cm)·tan(64°) = y ≈ 69.71 cm