a 16 ft ladder is leaned against a wall. if the ladder makes an angle of 70 degrees with the ground, how far away from the wall is the base of the ladder?
To find the distance from the wall to the base of the ladder, we can use trigonometry.
Let x be the distance from the wall to the base of the ladder.
We can use the sine function because we are given the length of the hypotenuse (16 ft) and the angle between the hypotenuse and the opposite side.
sin(70°) = opposite/hypotenuse
sin(70°) = x/16
Solving for x:
x = 16 * sin(70°)
x = 16 * 0.9397
x = 15.0352 ft
Therefore, the base of the ladder is approximately 15.04 ft away from the wall.