Question

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Answer 1

`\boxed{\sf cos\ A =(7)/(25)}`

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 .

`\sf\longrightarrow cos\theta =( base)/(hypontenuse)`

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 ,

`\sf\longrightarrow cos \ A =( b)/(h)=(AB)/(AC)`

Substitute the respective values ,

`\sf\longrightarrow \boxed{\blue{\sf cos \ A =(7)/(25)}}`

Hence the required answer is 7/25.

Answer 2

cos A = 7/25

Explanation:

Since we are given a right triangle, we can use trig functions

cos A = adj side/ hypotenuse

cos A = 7/25