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

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) (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 and .
RELATED QUESTIONS
in rectangle ABCD,AB=8cm and the diagonal AC=10cm .calculate the length of... (answered by ikleyn)

In rectangle ABCD, AB=6 and the length of diagonal AC is 10. The area of ABCD is 1.60... (answered by anantha)

in a parallelogram ABCD the diagonal AC is at right angle to AB if AB =12CM and BC =13 CM (answered by pallavi)

ABCD is a rectangle in which AB = 16cm, AC = 20cm and AE is the perpendicular from A to... (answered by scott8148)

Triangle ABC is an isosceles triangle with vertex angle B, AB = 5x - 28, AC = x + 5, and... (answered by psychopsibilin)

triangle ABC is an isosceles triangle with vertex angle B, AB= 5x -28, AC = x+ 5, and BC... (answered by Fombitz)

In rectangle ABCD, side AB=6, side BC=9, and diagonal AC is drawn. Find angle CAD to the... (answered by scott8148)

In an isosceles triangle labelled ABC, with BC as the base, and AB as the hypotenuse, and (answered by greenestamps)