Trig Functions
Name ___________________________
Date ___________________________
© 1999 T
EXAS
I
NSTRUMENTS
I
NCORPORATED
TI-30X ÙS: A Guide for Teachers
13
Problem
You need to build a ramp to your front door. The distance from the ground to
the bottom of the door is 1.5 feet. You don’t want the angle of incline to be
more than 6 degrees. The distance from the street to the door is 20 feet. Is
there enough room to build the ramp?
Procedure
1. Make a drawing of the problem.
2. Use the trigonometric ratio tan = opposite leg
¾
adjacent leg to find angle
A. (Round your answer to the nearest tenth.) _________________________
_________________________________________________________________
3. Is there room to build the ramp? ____________________________________
Extension
You want to start the ramp 15 feet away from the door. Can you do that and
still have the angle of incline be less than 6 degrees?
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