### Math Notes

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#### Trigonometry Solutions

##### Topics || Problems

A railroad is inclined at an angle of $$50'$$ with the horizontal. How many feet does it rise in a horizontal distance of 2 miles?

$$\tan {0^o 50'} = \frac{rise}{2}$$

$$2\tan {0^o 50'} = rise$$

$$2\tan {0^o 50'} = rise$$

$$rise = 0.0291 ~mi$$

$$rise = 0.0291 (\frac{5280 ~ft}{1 ~mi})$$

$$rise = 150.6 ~ft$$