Answer:
[tex]\boxed{\sf cos\ A =\frac{7}{25}}[/tex]
Step-by-step explanation:
We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .
We know that the ratio of sine is base to hypontenuse .
[tex]\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}[/tex]
Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}[/tex]
Hence the required answer is 7/25.
