cieralee1 3 years ago In right triangle PRS, sin ∠P = (8/17) . What is tan ∠P? 1.8/17 2.8/15 3.15/17 4.17/15 5.15/8

1. cwrw238

lets draw it |dw:1343587644186:dw|

2. cieralee1

okay i kind of see where you are going with it but i still kind of don't understand it

3. cwrw238

sin P = opposite / hypotenuse = 8 /17 tan P = opposite / adjacent (PS) = 8 / PS you can find length of PS by pythagoras theorem - can you do that?

4. cieralee1

i'm clueless to it

5. cwrw238

sorry i gotta go now for about 30 minutes - i'll help you more if you need it later

6. cieralee1

okay thank you

7. cwrw238

ok pythGoras theorem is for right angled trianlge which we/ve got here longest side squared = PR^2 = PS^2 + RS^2 plug in values: 17^2 = PS^2 + 8^2 so PS^2 = 17^2 - 8^2 = 289- 64 = 225 PS = sqrt(225) = 15 ok so tan P = 8/15

8. cwrw238

thats it

9. cieralee1

okay after reviewing it i understand it so much better thank you for your help and time

10. cwrw238

hopy you've learned something useful to you

11. cwrw238