Assume that on january 1, year 1, abc inc. issued 7,800 stock options with an estimated value of $12 per option. each option entitles the owner to purchase one share of abc stock for $27 a share (the per share price of abc stock on january 1, year 1, when the options were granted). the options vest at the end of the day on december 31, year 2. all 7,800 stock options were exercised in year 3 when the abc stock was valued at $35 per share. identify abc’s year 1, 2, and 3 tax deductions and book–tax differences (indicate whether permanent and/or temporary) associated with the stock options under the following alternative scenari

answer; i believe that the correct answer is client agreement;

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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