HOME IMPROVEMENT Lana wants to install a skylight in her bedroom. The section of roof where she plans to install the skylight has an incline and is triangular. The vertices of the roof are at
X (2, 1), Y (7, 10), and Z (12, 1).
Where should the center of the skylight be located so that it is equidistant from the vertices of the roof? If necessary
round your answer to the nearest whole number

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

sorry, i'm new here and i'm just trying to figure this out. try quizlet. rate 5* you!

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92