Texas Instruments TI-30XIIS Teachers Guide - Page 20

to find angle

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Trig Functions Name Date 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? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 13

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Trig Functions
Name
___________________________
Date
___________________________
© 1999 T
EXAS
I
NSTRUMENTS
I
NCORPORATED
TI-30X
Ù
S: 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?