Using the slope concept, it is found that his friends are 20 feet apart.
<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.
For the first friend, there is a vertical change of 34 feet and an angle of 34º, hence his position is:
![\tan{34^\circ} = \frac{34}{x_1}](https://tex.z-dn.net/?f=%5Ctan%7B34%5E%5Ccirc%7D%20%3D%20%5Cfrac%7B34%7D%7Bx_1%7D)
![x_1 = \frac{34}{\tan{34^\circ}}](https://tex.z-dn.net/?f=x_1%20%3D%20%5Cfrac%7B34%7D%7B%5Ctan%7B34%5E%5Ccirc%7D%7D)
![x_1 = 50.4](https://tex.z-dn.net/?f=x_1%20%3D%2050.4)
For the second friend, there is a vertical change of 34 feet and an angle of 48º, hence his position is:
![\tan{48^\circ} = \frac{34}{x_1}](https://tex.z-dn.net/?f=%5Ctan%7B48%5E%5Ccirc%7D%20%3D%20%5Cfrac%7B34%7D%7Bx_1%7D)
![x_1 = \frac{34}{\tan{48^\circ}}](https://tex.z-dn.net/?f=x_1%20%3D%20%5Cfrac%7B34%7D%7B%5Ctan%7B48%5E%5Ccirc%7D%7D)
![x_2 = 30.6](https://tex.z-dn.net/?f=x_2%20%3D%2030.6)
The difference is of:
50.4 - 30.6 = 19.8.
Rounding to the nearest foot, his friends are 20 feet apart.
More can be learned about the slope concept at brainly.com/question/18090623
[7(p+5)-17] + [2(p-3)+2]
= 7p + 35 - 17 + 2p - 6 + 2
= 9p + 18 - 4
= 9p + 14
Just combine like terms
6x-4 = 8
+4 +4
6x= 12
6/6 x = 12/6
x=2