In a right triangle the cosine of an acute angle is 1/2 and the hypotenuse measures 7 inches. what is the length of the side of the triangle adjacent to this angle?

The length of side adjacent to the cosine angle is    inches

Step-by-step explanation:

Given as :

For a right triangle ,

Cosine of an acute angle =

I.e                            cos Ф =  

And, The measure of hypotenuse = 7 inches

Let the length of side adjacent to the cos Ф = x inches

SO,                           cos Ф =  

Or,                            cos Ф =  

Or,                             Base   = 7  × cosФ

Or,                             Base   = 7 ×  

∴                                Base   =    inches

Hence The length of side adjacent to the cosine angle is    inches  Answer

The length of the side adjacent to the angle is 3.5 inches

Step-by-step explanation:

Here,given the cosine of an acute angle = 1/2

Let that acute angle be  Ф

⇒ cos Ф = 1/2

Also,

⇒

or, the ratio of Base : Hypotenuse is 1  : 2

Now, Hypotenuse =  7 inches (given)

⇒  

Hence, the length of the side adjacent to the angle is 3.5 inches

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step-by-step explanation: