la1" title=" \sqrt{12} + \sqrt{108} - \sqrt{32} " alt=" \sqrt{12} + \sqrt{108} - \sqrt{32} " align="absmiddle" class="latex-formula">
1 answer:
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Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula
now, we can find x
In triangle DEF:
we can use trig formula
we can see that
height of statue =x+y
so, the height of statue is
Volume of pyramid:
A - base area
H - height
First count volume of one pyramid:
![V=\dfrac{1}{3} \cdot 3 \cdot 4=4 [\hbox{inch}^3]](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%20%5Ccdot%203%20%5Ccdot%204%3D4%20%5B%5Chbox%7Binch%7D%5E3%5D)
So by using 576 inch^3 you can make 576 : 4 = 144 pyramids
A - base area
H - height
First count volume of one pyramid:
So by using 576 inch^3 you can make 576 : 4 = 144 pyramids