Here is your diagram with my sketch 3 triangles 1 rectangle and 1 square>
Area of a triangle = 1/2 b x h
1) 1/2 3*2
2) 1/2 6*1
3) 1/2 2*6
4) 1 * 6
5) 6 * 6 Add up 1-5 for the total area...I let you do the simple math !
Ack ! TRUE ! I counted 70 twice...bummer !
(x+3)^2 <= 1
x^2 +6x +9 -1 <=0
x^2 +6x +8 <=0
(x+4)(x+2) <=0
From -2 to minus 4 solves this -4 -3 -2 Three integers
The ladder is the hypotenuse of a right triangle. 10ft
The leg opposite the angle in question is 8.5 ft
arcsin (8.5/10) = 58.2 degrees It is OK!
I feel your pain!
Yessss!! 12 sqrt(3) !
Area = 20.78 cm^2
If you need an answer with radicals in it (an EXACT solution) , you will need to use
tan30 = 1/sqrt3 and tan60 = sqrt(3) in the calculations to get the final answer
Note: Units should be cm^2 (got cut off in scan)
(if you need EXACT values use tan30 = 1/sqrt3 tan60=sqrt3 )