Question

Identify the value of p. Give your answers in simplest radical form. HELP PLEASE!!

Answer 1

Answer:

C

Step-by-step explanation:

using the cosine ratio to find p

cos 45° = $\frac{adjacent}{hypotenuse}$ = $\frac{6}{p}$

cross- multiplying gives

p × cos45° = 6 → [ cos 45° = $\frac{1}{\sqrt{2} }$]

p × $\frac{1}{\sqrt{2} }$ = 6

multiply both sides by $\sqrt{2}$

⇒ p = 6$\sqrt{2}$ ( third option on list )