Answer:
(6.5 , 3.5)
Step-by-step explanation:
![Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\](https://tex.z-dn.net/?f=Midpoint%3D%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%2C%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%29%5C%5C)
![=(\frac{10+3}{2},\frac{6+1}{2})\\\\=(\frac{13}{2},\frac{7}{2})\\\\=(6.5,3.5)](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B10%2B3%7D%7B2%7D%2C%5Cfrac%7B6%2B1%7D%7B2%7D%29%5C%5C%5C%5C%3D%28%5Cfrac%7B13%7D%7B2%7D%2C%5Cfrac%7B7%7D%7B2%7D%29%5C%5C%5C%5C%3D%286.5%2C3.5%29)
Answer:
Number 4 i think
Step-by-step explanation:
Answer: 289 ft.
Explanation:
You can form a right triangle with these features:
1) Base = adjacent-leg = 500 feet
2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)
3) Height = opposite-leg = height of the Statue of LIberty = x
Now, use the equation for the trigonometric ratio tangent:
tan(angle) = opposite-leg / adjacent-leg
=> tan (30°) = x / 500ft
=> x = 500ft * tan(30°)
x = 288.67 ft which rounded to the nearest foot is 289 ft.