SOLUTION: In the right triangle ABC, angle C measures 90 degree. The length of leg AC is 7 and the length of the hypotenuse AB is 12. a)Find, to the nearest degree, the measure of angle A.

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Question 199111: In the right triangle ABC, angle C measures 90 degree. The length of leg AC is 7 and the length of the hypotenuse AB is 12.
a)Find, to the nearest degree, the measure of angle A.
b)Find, to the nearest integer, the length of BC.

Answer by Alan3354(69443) About Me  (Show Source):
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In the right triangle ABC, angle C measures 90 degree. The length of leg AC is 7 and the length of the hypotenuse AB is 12.
a)Find, to the nearest degree, the measure of angle A.
sin(A) = 7/12
A = 36º
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b)Find, to the nearest integer, the length of BC.
BC^2 = 12^2 - 7^2 = 95
BC = ~ 10