We are given
[tex] tan(A)=\frac{7}{24} [/tex]
we know that
[tex] tan(A)=\frac{opposite}{adjacent} [/tex]
so, we get
opposite =7
adjacent=24
now, we can find hypotenuse
[tex] hypotenuse=\sqrt{7^2+24^2} [/tex]
[tex] hypotenuse=25 [/tex]
now, we can draw triangle and then switch vertices accordingly
we can find cos(B) using second triangle
[tex] cos(B)=\frac{adjacent}{hypotenuse} [/tex]
In second triangle:
adjacent=7
hypotenuse =25
so, we get
[tex] cos(B)=\frac{7}{25} [/tex]................Answer
