Albert owns 100 acres of land on which he grows spruce trees. His adjusted basis for the land is $105,600. He receives condemnation proceeds of $10,560 when the city's new beltway takes 5 acres along the eastern boundary of his property. He also receives a severance award of $6,336 associated with the possible harmful effects of exhaust fumes on his trees. Albert invests the $16,896 in a growth mutual fund. a. Determine the tax consequences to Albert of the condemnation proceeds.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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