SOLUTION: In rectangle ABCD, diagonal AC, which is 20 inches in length, makes an angle of 35o with the base AB. a. Find AB, the base of the rectangle, to the nearest tenth of an inch. b

Algebra ->  Trigonometry-basics -> SOLUTION: In rectangle ABCD, diagonal AC, which is 20 inches in length, makes an angle of 35o with the base AB. a. Find AB, the base of the rectangle, to the nearest tenth of an inch. b      Log On


   

Question 1155024: In rectangle ABCD, diagonal AC, which is 20 inches in length, makes an angle of 35o with the
base AB.
a. Find AB, the base of the rectangle, to the nearest tenth of an inch.
b. Find CB, the altitude of the rectangle, to the nearest tenth of an inch.
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
This makes two congruent triangles ABC and ACD.
Both are right triangles.

Triangle ABC:
Angle at A is 35 degrees
Angle at B is 90 degrees
Angle at C is 55 degrees

Law of Sines can help to give AB, and BC.

Find that after LoS and simplification that AB=20%2Asin%2855%29 and BC=20%2Asin%2835%29.