[tex]\frac{15}{17}[/tex]
Step-by-step explanation:
In the given image the triangle is right angled triangle.
Given data: Hypotenuse = 34, Base = 30, Opposite side = 16
The formula for cos r is
Cos r = [tex]\frac{\text { Base }}{\text { Hypotenuse }}[/tex]
Substitute the value of base and hypotenuse in the formula
Cos r = [tex]\frac{30}{34}[/tex]
= [tex]\frac{15 \times 2}{17 \times 2}[/tex]
Cos r = [tex]\frac{15}{17}[/tex] (cancel the common term)
Therefore, the value of cos r is [tex]\frac{15}{17}[/tex].
