Question

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A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.

Answer 1

To find the magnitudes of the forces on the ladder at the top and bottom, we can analyze the forces acting on the ladder using the principles of static equilibrium.

Step-by-step explanation:

In order to find the magnitudes of the forces on the ladder at the top and bottom, we can analyze the forces acting on the ladder using the principles of static equilibrium.

At the top of the ladder, the only force acting vertically is the force of gravity, which can be represented by the weight of the ladder. The magnitude of this force is the product of the ladder's mass (10.0 kg) and acceleration due to gravity (9.8 m/s^2).

At the bottom of the ladder, there are two forces acting vertically: the force of gravity and the normal force from the ground. The normal force can be calculated by summing the vertical components of the weight of the ladder and the person standing on it. The magnitude of the normal force is equal to the sum of the weights of the ladder and the person.

Answer 2

Step-by-step explanation:

sin77=h/8

h=8sin77

h=8(0.9744)

h=7.7952ft