Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
![\tan{16^\circ} = \frac{1}{x_1}](https://tex.z-dn.net/?f=%5Ctan%7B16%5E%5Ccirc%7D%20%3D%20%5Cfrac%7B1%7D%7Bx_1%7D)
![x_1 = \frac{1}{\tan{16^\circ}}](https://tex.z-dn.net/?f=x_1%20%3D%20%5Cfrac%7B1%7D%7B%5Ctan%7B16%5E%5Ccirc%7D%7D)
![x_1 = 3.5](https://tex.z-dn.net/?f=x_1%20%3D%203.5)
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
![\tan{74^\circ} = \frac{1}{x_2}](https://tex.z-dn.net/?f=%5Ctan%7B74%5E%5Ccirc%7D%20%3D%20%5Cfrac%7B1%7D%7Bx_2%7D)
![x_2 = \frac{1}{\tan{74^\circ}}](https://tex.z-dn.net/?f=x_2%20%3D%20%5Cfrac%7B1%7D%7B%5Ctan%7B74%5E%5Ccirc%7D%7D)
![x_2 = 0.3](https://tex.z-dn.net/?f=x_2%20%3D%200.3)
The distance is:
![d = x_1 - x_2 = 3.5 - 0.3 = 3.2](https://tex.z-dn.net/?f=d%20%3D%20x_1%20-%20x_2%20%3D%203.5%20-%200.3%20%3D%203.2)
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at brainly.com/question/18090623
Answer:
x = 95°
Step-by-step explanation:
x and 95 are vertical angles and congruent, thus
x = 95°
Answer:
A(0,3) B(3,4) C(2,1)
Step-by-step explanation:
when reflecting you just the change the sign if either the X or the Y. in this case it's the Y
I believe 24 because that is the makimum and the biggest box