The top of a cable is 9.5 feet off the ground. the angle of elevation is 40 degrees what is the length of the cable

The cable will form the hypotenuse of a right-angled triangle where sin(40°) = 9.5/L where L is the length of the hypotenuse in feet, so

 

L = 9.5/sin(40°) feet.  

 

You can crunch the numbers!

9.5/40

0.2375?