Question

What is the length of PQ¯¯¯¯¯?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answer 1

Hello! The correct answer is 5.2 km

Explanation:

I am just confirming!

Answer 2

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`