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Answer:
The height of the hot air balloon is 1514.54 feet approximately.
Step-by-step explanation:
Consider the provided information.
The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon
The figure is shown below:
Let the height of the balloon is AD, the height of the building is BC.
Draw a line BE parallel to CD.
Therefore, AD=x+95, BC=95 and BE=CD=354 ft
Now in triangle
.




The height air balloon is 1419.54+95
=1514.54 ft
Hence, the height of the hot air balloon is 1514.54 feet approximately.
Answer:

Step-by-step explanation:
Given




Required
Find the height
The volume is calculated as thus:

This gives

Apply difference of two squares


Subtract 15 from both sides

Using a calculator to factorize, we have:

Split
or 
or 
x has complex roots for 
Hence:

Recall that:


Answer:
B.
Step-by-step explanation:
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