Question

What is the length of PQ¯¯¯¯¯?

Answer 1

Since you don't have any angle and its opposite side, you cannot establish the ratio for the law of sines, so you must use the law of cosines.

$c^2 = a^2 + b^2 - 2ac \cos C$

Let's change it for this problem.

$r^2 = p^2 + q^2 - 2pq \cos R$

$r^2 = 9^2 + 6^2 - 2(9)(6) \cos 34^\circ$

$r^2 = 9^2 + 6^2 - 2(9)(6) \cos 34^\circ$

$r^2 = 27.46$

$r = 5.24$

$PQ = 5.2~km$

Answer 2

Answer:

Hello! The correct answer is 5.2 km

Step-by-step explanation:

I am just confirming!