Question

Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should you use law of sines or law of cosines to solve? b. show your setup to solve for pq. c. solve for pq to the nearest tenth, showing all of your work. for the toolbar, press alt+f10 (pc) or alt+fn+f10 (mac).

Answer 1

By applying the law of sines, the length of side PQ is equal to 7.1 units.

What is the law of sines?

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

How to calculate the length of PQ?

Mathematically, the law of sines is given by this equation:

$\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}$

Substituting the given parameters into the formula, we have;

$\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691$

PQ = 7.1 units.

Read more on law of sines here: brainly.com/question/7922954

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