## anonymous one year ago An airline ramp with a base of 50 feet makes an angle of 27° with the ground. I need to find out how long will a person walk on the ramp.

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1. mathstudent55

I think this is what the question means. We are looking for x. |dw:1436330279032:dw|

2. mathstudent55

We need the trig function that relates the adjacent leg to the hypotenuse. |dw:1436330367132:dw|

3. mathstudent55

Recalling: SOHCAHTOA, we can use the cosine: $$\cos \theta = \dfrac{adj}{hyp}$$ $$\cos 27^o = \dfrac{50 ~ft}{x}$$ $$x = \dfrac{50~ft}{\cos 27^o}$$ Just do the division to find x, the length of the ramp.