Answer:
The measure of hypotenuses is 12.5 unit.
Step-by-step explanation:
Given information:[tex]\cos b=\frac{4}{5}, a=10[/tex]
In a right angle triangle
[tex]\cos \theta=\frac{base}{hypoteneuose}[/tex]
Let the measure of hypotenuses be x.
In triangle ABC,
[tex]\cos (B)=\frac{CB}{AB}[/tex]
[tex]\frac{4}{5}=\frac{10}{x}[/tex]
[tex]4\times AB=10\times 5[/tex]
[tex]x=\frac{50}{4}[/tex]
[tex]x=12.5[/tex]
Therefore the measure of hypotenuses is 12.5 unit.
