Question 253407
1. A parcel of land is in the shape of an isosceles triangle. the base had a length of 673 feet and the two equal legs meet an angle of 43 degrees. Find, to the nearest square foot, the area of the parcel of land.
The other 2 angles are 68.5º.
The tan(68.5) = h/(base/2)
h = tan(68.5)*b/2 = tan(68.5)*336.5
h =~854.255
Area = bh/2 = 143728.4 sq feet
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2. The triangle top of a table has two sides of 14 inches and 16 inches and the angle between the sides is 30 degrees. Find the area of the tabletop, in square inches.
Call the 16" side the base.
h = 14*sin(30) = 7
Area = bh/2 = 16*7/2 = 56 sq in