a 30 foot ladder leans against a wall at a 71 degree angle of elevztion find the distance of a ladder's base to the wall

Answer 1

Try to draw an image of the ladder leaning against the wall. The diagram will look like a right abgled triangle.
Now let the distance of the ladders base to the wall = x
Cos 71 = x / 30
x = 30Cos71
x = 9.8