Posted by **Dee** on Sunday, August 21, 2011 at 12:44pm.

An architect designs a house that is 12 m wide. The rafters holding up the roof are equal length and meet at an angle of 68°. The rafters extend 0.6 m beyond the supporting wall. How long are the rafters?

Hi - I was wondering if you could help me with this question. I'm not sure what they mean by rafters extending beyond the support wall and how I would be able to figure out the length if it extends.

- Math -
**Damon**, Sunday, August 21, 2011 at 2:51pm
base of right triangle = 12/2 = 6 m

angle at peak = 68/2 = 34 deg

we need the hypotenuse then add .6 m to each rafter

sin 34 = 6/L

L = 10.7

add .6

11.3 meters per rafter

- Math -
**Dee**, Sunday, August 21, 2011 at 3:19pm
Thank you for clarifying! Also appreciate how quickly you helped me. Very good math skills :)

## Answer this Question

## Related Questions

- math - An architect designs a house that is 12m wide. The rafters holding up the...
- math - could someone please help.... a cottage under construction is to be 35.6m...
- trigonometry ? - A cottage under construction is to be 15.6m wide. The two sides...
- triginomitry - A cottage under construction is to be 12.6 meters wide. The two ...
- physics - The rafters of a roof meet at an angle of 120 degrees. What force is ...
- strategic math - A roof is supported by 7 rafters, each 6 1/2 feet long at 70 ...
- Trigonometry - a barn has a gable roof whose rafters are 20 feet long. the width...
- Trigonometry - a barn has a gable roof whose rafters are 20 feet long. the width...
- trig HELP - A barn is 30ft. wide by 60ft long; the rafters make an angle of ...
- math - Malcom designed the roof plan of a house and implement shed. The ...

More Related Questions