At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top of the tree to the end of the shadow is x+1 meters, what is the height , x of the tree ?

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of meters and the distance from the top of the tree to the end of the shadow is meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

Expanding, we get,

Solving the equation using the quadratic formula , we get,

Simplifying, we have,

Thus,

 and  

where the value is not possible because substituting the value in results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

the first dot plot best represents the data

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2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29