Question

prove that sum plz plz​

Answer 1

Answer:

PQ = 6cm

QS = 10.3923048cm

Step-by-step explanation:

You'll have to use trigonometry for this problem

For PQ:

SOH CAH TOA

Since PQ is the opposite side to the angle, we'll be using sin

Sin(angle) = opposite/hypotenuse

Sin(30*) = x/12 (x because we dont know what QP is)

12Sin(30*) = x

x = 6

For QS:

We'll be using cosine for this one since it's adjacent to the angle

cos(angle) = adjacent/hypotenuse

cos(30) = x/12

12cos(30) = x

x = 10.3923048

You can also check this answer with the pythagorean theorem since it's a 30/60/90 triangle:

$\sqrt{12^2 - 6^2}$ = 10.3923048