Ahorse corral is situated on a triangular plot of land. two sides of the plot are 150 feet long and they meet at an angle of 55°. a fence is to be placed along the perimeter of the corral. how much fencing material is needed? a. 125 ft b. 138.5 ft c. 288.5 ft d. 438.5 ft

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a =

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?