the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)

h = 14.5 ft

Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as

i.e., the ratio of a side and the sin of its opposite angle is constant.

So, for this triangle, height is

h = 14.51

Height of the main sail rounded to the nearest tenth is 14.5 ft.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."