Answer:
The truck could drive 347.76 miles with 16.8 gal. of gas
1. I divided 229.77 by 11.1, then I multiplied that answer by 16.8.
HOPE THIS HELPS!
Please find the attached diagram for a better understanding of the solution provided here.
In the attached diagram, OP is the height of the tree.
Rest of the diagram should be sufficiently self explanatory.
In
,
![tan(30^0)=\frac{OP}{x}](https://tex.z-dn.net/?f=%20tan%2830%5E0%29%3D%5Cfrac%7BOP%7D%7Bx%7D%20%20)
.........................Equation #1
Again, in
,
![tan(20^0)=\frac{OP}{PH+HL}=\frac{OP}{x+50}](https://tex.z-dn.net/?f=%20tan%2820%5E0%29%3D%5Cfrac%7BOP%7D%7BPH%2BHL%7D%3D%5Cfrac%7BOP%7D%7Bx%2B50%7D%20%20%20)
.........................Equation #2
Thus, equating the equations Equation #1 and Equation #2, we have:
![\frac{OP}{tan(30^0)}=\frac{OP}{tan(20^0)}-50](https://tex.z-dn.net/?f=%20%5Cfrac%7BOP%7D%7Btan%2830%5E0%29%7D%3D%5Cfrac%7BOP%7D%7Btan%2820%5E0%29%7D-50%20%20%20%20)
Evaluating we get:
![1.732(OP)=2.747(OP)-50](https://tex.z-dn.net/?f=%201.732%28OP%29%3D2.747%28OP%29-50%20)
![1.015(OP)=50](https://tex.z-dn.net/?f=%201.015%28OP%29%3D50%20)
![\therefore OP=\frac{50}{1.015}\approx49.26 ft](https://tex.z-dn.net/?f=%20%5Ctherefore%20OP%3D%5Cfrac%7B50%7D%7B1.015%7D%5Capprox49.26%20ft%20%20)
Thus the height of the tree is approximately 49.26 feet
Each capsule contains 0.007 g / capsule
Stock has 14 g
Assuming no loss, number of capsules that can be filled
= 14 g/ 0.007 g/capsule
= 2000 capsules
3/9 This is because one third of nine is three. That is also why 3x3=9.