The sun is 21° above the horizon. it makes a 54 m -long shadow of a tall tree. how high is the tree? express your answer in meters.

Height of the tree, h = 20.72 meters

Explanation:

Given that,

The sun is 21° above the horizontal,

Length of the shadow, d = 54 m

Let h is the height of the tree. It can be calculated using trigonometry as :

Here, perpendicular is h and base is 54 meters.

h = 20.72 meters

So, the height of the tree is 20.72 meters. Hence, this is the required solution.

the tires are rotating at 0.434 rpmlinear speed=45 m/sdiameter=0.550 mradius=0.275 mnow v= rωω= v/rω=45/0.275ω=163.6 rad/sω=163.6 rad/s (1rev/2π rad) (60s/1m)ω=1563 rpm

explanation:

to push or pull an object in a certain direction is known as force. a force in moving an object from one place to another.

force depends on the mass of an object. so, more is the mass of an object more will be the force required to move the object.

thus, we can conclude that the use of force to move an object is push or pull.