The women's shadow would be 36.6ft. long.
You have to set up a proportion 42.9 6.2
--------- = ------------
253.1 X
Then you cross multiply (6.2*253.1) and divide (1569.22/42.9) equals 36.6
Answer:
x = 23
Step-by-step explanation:
Use tan to find the missing side
tan 41 = 20/x SImplify
0.8693 = 20/x Multiply both sides by x
0.8693x = 20 Divide both sides by 0.8693
x = 23
The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.
The dimensions of your box will be 8 ft square by 4 ft high.
_____
If the base dimension is x ft, the area (quantity of material) is
... a = x² + 4x(256/x²)
... a = x² + 1024x⁻¹
Then the derivative of area with respect to x is
... a' = 2x -1024x⁻²
Setting this derivative to zero and solving for x gives the value of x for minimum area.
... 0 = 2x -1024/x²
... 512 = x³
... x = 8 . . . . . . . . same as above.
Step-by-step explanation:
sin4Acosec2A+cos4Asec2A=sin2Asin4A+cos2Acos4A=sin2A+cos2A=1
