Carrie place is a 10 foot ladder against the wall if the ladder makes an angle of 65° with the level ground how far up the wall is the top of the ladder

Step-by-step explanation:

The ladder forms a right angle triangle with the wall and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the distance from the top of the ladder, h from the base, we would apply the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 65 = h/10

h = 10Sin65 = 10 × 0.906

h = 9.06 feet