a building is 562 feet tall. When the sun is shining a certain time of day, the sunlight strikes the ground over the top of the building making an angle with the ground of 82 degrees. the building casts a shadow from its base to that point where the sunlight strikes the ground. What is the length of the shadow? Show work.
cos 26 degrees how did you get it
5pie/4r= how many degrees
sin (pie/4)=
Bullwinkle_J_Moose
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Let Point A be the top of the building, Point B the point where the sunlight hits the ground, and Point C the bottom of the building. Triangle ABC is a right triangle (<ACB is 90deg). AC is the building, and since the building is 562ft tall, ||AC|| = 562. BC is the shadow. Angle <ABC is 82deg; i.e. the sunlight strikes the ground making an angle with the ground of 82deg.
tan(82deg) = ||AC|| / ||BC||
||BC|| = ||AC|| / tan(82deg)
||BC|| = 562 / 7.115370
||BC|| = 78.983949
So the shadow is just shy of 79ft.
I have no idea what you're talking about w.r.t. cos(26).
To convert radians to degrees (and vice versa) use the following equality and solve for the unknown.
radians/(2pi) = degrees/360
[There are 2pi radians in a circle, and 360 degrees in a circle. The ratio of a particular angle to the full circle must be the same no matter which unit of measure you use.]
(5pi/4)/(2pi) = degrees/360
(5pi/4)(360) / (2pi) = degrees
225 = degrees
So an angle of 5pi/4 radians is equivalent to an angle of 225 degrees.
sin(pi/4) = sqrt(2)/2