The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,
[tex]\cos \theta=\frac{a d j}{h y p}[/tex]
Here, [tex]\theta=64[/tex], adj = PR and hyp = 10
Substituting these values in the formula, we get,
[tex]\cos 64=\frac{P R}{10}[/tex]
Multiplying both sides by 10, we get,
[tex]10*\cos 64={P R}[/tex]
Substituting the value for cos 64, we get,
[tex]10*0.438={P R}[/tex]
Multiplying, we have,
[tex]4.38=PR[/tex]
Rounding off, we get,
[tex]PR=4.4[/tex]
Thus, the length of PR is 4.4 units.
