Could you please draw me a picture? From above.
Hi,
I am a math tutor and one of my grade 11 students had this problem the other night. I am stumped and have sought help within my tutoring peers....we feel that there is some information missing.
My student has a test tomorrow and her teacher is absent so I am hoping someone can confirm my assumption or point out what I am missing
2 Fire towers are located 100K apart on high hills. The bearing from T to R is North east. A fire F is observed from tower T at N10degE and from tower R at N75degW. The town of Pretty Valley, at point V, is on a bearing of N25E from T and S70W from R. The observers report the wind is blowing the fire directly toward Pretty Valley at a rate of 8kmh. How many hours do the officials have to evacuate the town?
I know I need to find the distance from F to V. However I cannot see how to get there. My colleague and I are both Bsc Math and we are stumped. I am just hoping it isn't us...maybe they left something out in the text!
TIA,
Tangled Curls
This is just a quick solution, i never thought really hard about this so there may be a more efficient way (maybe janvdl will come up with it), i never considered any right-triangles in my solution.
Check my computation, i'm known for making silly mistakes, also, i used 2 decimal places for everything, so if you want a more accurate answer, redo the steps with more decimals
see the modified diagram below
By the law of sines:
Also by the law of sines:
Finally, by the law of cosines:
And i think you can take it from here