Find the value of x. Round to the nearest tenth.

21.7

Step-by-step explanation:

Haha, I've done this recently! We are trying to find the hypotenuse, and we know the adjacent side. , so we can use cosine to help us figure that out. cosine 37° =

On our calculator, we can determine that cosine of 37 degrees is 0.79863551004, and therefore 0.79863551004 = 17.3/x. Multiplying both sides by x gives 0.79863551004x = 17.3. Finally, all we have to do is divide 17.3 by 0.79863551004 and we get 21.661, rounded to the nearest tenth, 21.7!

I hope this helps!

Given :-

To Find :-

Solution :-

In the given triangle one of the angle is 37° and one of its side is 17.3 . As we know that in a right angled triangle ,

Substitute ,

Cross multiply ,

Simplify ,

Hence the value of x is 21.625.

2 is the final ! : )