Question

I need help -Geometry

Answer 1

Step-by-step explanation:

We apply the pythagorean theorem on ABC.

AC^2=11^2+60^2 = 3600 + 121 = 3721

AC=61

Which means that sin(BAC) = 60/61.

However, sin^2(BAC) + cos^2(BAC)=1.

3600/3721 + cos^2(BAC) = 3721/3721.

cos^2(BAC) = 121/3721.

BAC is an acute angle so the cos is a positve number.

cos(BAC) = 11/61.

Lastly, x/60 = cos(BAC), so x= 660/61