## mattishot Group Title A long ramp that leads to a building entrance is 45 feet. The stairs to the entrance have a vertical height of 6 feet. What is the angle of incline of the ramp? one year ago one year ago

1. tcarroll010 Group Title

|dw:1363223850112:dw|In this drawing you can identify the angle "x", the opposite side and the hypotenuse. The angle "x" is that angle whose sine is the measure of the length of opposite side over the measure of the length of the hypotenuse.

2. mattishot Group Title

so sin 6/45?

3. tcarroll010 Group Title

Actually, the angle is the arcsin 6/45. It's the inverse sine. You are given the sine. It's the angle is what you are looking for.

4. mattishot Group Title

okay, i gotcha. i never know when to use what :/

5. tcarroll010 Group Title

In other words:$\sin x = \frac{ 6 }{ 45 }$

6. tcarroll010 Group Title

$x = \sin^{-1} \frac{ 6 }{ 45 }$

7. tcarroll010 Group Title

sines go with the angle. Arcsines (inverse sines) go with the ratio of the sides.

8. mattishot Group Title

ohhh. alright.

9. tcarroll010 Group Title

So, to calculate that, you set your calculator to "degrees", type in 6/45, then hit inverse sine.

10. tcarroll010 Group Title

It will give back the angle whose sine is 6/45. Good luck in all of your studies and thx for the recognition! @mattishot

11. mattishot Group Title

Thank you too!

12. tcarroll010 Group Title

You're very welcome! Have a good rest of the day!

13. mattishot Group Title

You as well.