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
It is given to us that the interest rate is 2%.
We know that 2% can be rewritten as
. Now, we also know that in decimal form,
.
Therefore, the interest earned on d dollars at an interest rate of 2% will be "2% of d" which can be rewritten as
. This is because in math, "of" means the same as multiplication.
Thus, out of the given options, the last option is the correct option.
At first find the area of rectangle:
(x + 4)*(x + 1) = x^2 + 5x + 4
Then find the area of triangle:
![\frac{(x+1)(x-3)}{2} = \frac{x^2-2x-3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x%2B1%29%28x-3%29%7D%7B2%7D%20%3D%20%20%5Cfrac%7Bx%5E2-2x-3%7D%7B2%7D%20)
Then you must do like this
Area of rectangle - Area of triangle = Area of the shaded
x^2+5x+4 - (
![\frac{x^2-2x-3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E2-2x-3%7D%7B2%7D%20)
)
Answer:
Human rights are rights inherent to all human beings, regardless of race, sex, nationality, ethnicity, language, religion, or any other status. Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more.
Step-by-step explanation: