Question

I need help on this problem

Answer 1

Answer: $QR=4.04$

Step-by-step explanation:

For this exercise you must use the followinG Trigonometric Identity:

$tan\alpha=\frac{opposite}{adjacent}$

In this case, given the right triangle PQR, you can identify that:

$\alpha=60\°\\opposite=PR=7.0\\adjacent=QR$

Then, the  next step is to substitute those values into $tan\alpha=\frac{opposite}{adjacent}$:

$tan(60\°)=\frac{7.0}{QR}$

And the final step is to solve for "QR" in order to find its value.

So you get that this is:

$(QR)(tan(60\°))=7.0\\\\QR=\frac{7.0}{tan(60\°)}\\\\QR=4.04$