## kcla1996 2 years ago A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles. To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

1. qweqwe123123123123111

|dw:1365551726121:dw| adj = 5 angle = 6 tan(angle) = opp/adj You want to find the length (height) of the opposite side: So if tan(6) = opp/5 then opp = tan(6) * 5

2. kcla1996

so am i supposed to find tan next?

3. belibergirl666

ok girl mutiply the lenght and the height and base and divide by 2

4. qweqwe123123123123111

She's looking for the height, not the area.

5. belibergirl666

oh well ok the base x weight right

6. qweqwe123123123123111

She doesn't have the height yet. She's looking for the height. The height is the length of the opposite side. That's what she's looking for. The length of the opposite side. The length of the opposite side = the height. The height is equal to tan(6) * 5

7. kcla1996

wait what im so confused what do i do

8. qweqwe123123123123111

Do you know what a tangent is?

9. qweqwe123123123123111

Are you there?

10. kcla1996

its one of the sides of the triangle?

11. gksriharsha

tangent is the ratio of the sides of the triangle

12. kcla1996

do you know what im supposed to do?

13. gksriharsha

open a calculator and find the value of tan(6), then the result should be multiplied by 5

14. gksriharsha

or go to google and type tan(6) get the value. The final answer is 0.5255....m