Texas Instruments TI-30X Teachers Guide - Page 17

Use the trig ratio

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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 trig 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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© 1999 T
EXAS
I
NSTRUMENTS
I
NCORPORATED
TI-30X
Ù
S: A Guide for Teachers
13
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 trig 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?