A support cable for a 51 foot tower forma a 70 degree angle with the ground. What is the length of the cable to the nearest foot?

Question

57ft, 54ft, 48ft, 41 ft?

Answer 1

If you draw a picture and show the angle with the ground of 70. The height of the tower is opposite of this angle. The length of the cable is the hypotenuse. You can use sin to solve this

sin x = opposite/hypotenuse

Plug in what you know

sin (70) = 51/x

x=51/sin(70)

x=54 ft.