Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
Answer:
The first option is the correct option
Step-by-step explanation:
From the question the slope AC is evaluated as


And the slope of line CB is mathematically evaluated as


Now for lines that are perpendicular to each other then the product of their slope should be equal to -1
So if

Then

i,e
![[\frac{b}{a+ c} ] [\frac{b}{a-c} ] = -1](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bb%7D%7Ba%2B%20c%7D%20%5D%20%5B%5Cfrac%7Bb%7D%7Ba-c%7D%20%5D%20%3D%20-1)
The answer is 292 per person. Since there is three of them you divide 876 by 3. The answer then ends up being 292. Hope this helps.
Sine law to find angle R
![\displaystyle \frac{\sin R}{122}= \frac{\sin 64}{187.5} \\ \\ \sin R = \frac{122\sin 64}{187.5} \\ \\ R = \sin^{-1} \left[ \frac{122\sin 64}{187.5} \right] \\ \\ R \approx 35.7899447211](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Csin%20R%7D%7B122%7D%3D%20%5Cfrac%7B%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0A%5Csin%20R%20%3D%20%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0AR%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5Cright%5D%20%5C%5C%20%20%5C%5C%0AR%20%5Capprox%2035.7899447211)
All angles in triangle add to 180 so we can find angle P
P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789
sine law with angle P to find length of RQ

or use cosine law

either way the answer is 205.57 feet