Aladder 7.00 m long leans against the side of a building. if the ladder is inclined at an angle of 74.5° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building?

x= 1.87 m

Explanation:

We apply the concepts of trigonometry for a right triangle, where the length of the ladder is the hypotenuse of the triangle:

   Formula (1)

Where:

β : angle that forms x with h

x : side adjacent to the angle

h: hypotenuse of the triangle

Problem development

Look at the attached graphic

In this case, the hypotenuse is equal to the length of the ladder and x is the horizontal distance from the bottom of the ladder to the building :

h= 7.00 m

β= 74.5°

We replace data in formula (1)

x= 7* cos 74.5°

x= 1.87 m

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

pretty sure it's false