The answer to the question is <span> 80°</span>
It's the product of 12 and 5 1/2, so the answer is 66.
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.
Answer:
Step-by-step explanation:
<u>Given inequality</u>
- |x+6| - 12 < 13
- |x+6| < 13 + 12
- |x+6| < 25
To solve this inequality graphically you need two graphs according left and right sides of inequality
<u>So the graphs should be:</u>
See attached for the graph