Trig/Architecture Problem

G

Guest

Guest
An architect has a house design in a city with latitude 32degrees N. He wants to control sunlight and finds the Summer solstice sun angle to be 82 degrees and the /Winter solstice sun to be at a 35 degree angle. (The house is 19ft. tall from the floor to the overhang.)

How much roof overhang should she provide so that at noon on that day of summer solstice the shadow of the overhang will reach the bottom of the south facing wall?

How far down the wall will the shadow of the overhang reach at noon on the day of the winter solstice?

Please advise if you can. Thanks
 
It isn't clear whether the overhang is considered to be flat or slanted.
In either case you have a right triangle with one angle of (90-82)°
First case the hypot is wall-bottom to end-of-overhand. Second case the hypot is the height.
 
You must log in or register to reply here.
Top