The hypotenuse of a right triangle is 13 inches. If one leg is 3 inches, find the degree measure of each angle.
The angle opposite the 3-inch leg is ?
The other acute angle of the right triangle is ?
The angle opposite the 3-inch leg is ?
The other acute angle of the right triangle is ?
-
Use A, B, and C for the lengths of the sides (C is the Hypotenuse).
C = 13
A = 3
B = sqrt (13^2 - 3^2) = 12.649
Angle opposite to A = asin (3/13) = 13.342 deg
Angle opposite to B = acos (3/13) = 76.658 deg
C = 13
A = 3
B = sqrt (13^2 - 3^2) = 12.649
Angle opposite to A = asin (3/13) = 13.342 deg
Angle opposite to B = acos (3/13) = 76.658 deg
-
The cosine of the angle between the leg and the hypotenuse is 3/13, so the angle is 76.66°
The other angle then would be 13.34°, because the acute angles of a right triangle are complementary
The other angle then would be 13.34°, because the acute angles of a right triangle are complementary
-
Let A be the angle opposite the leg of 3 in, and B be the other acute angle.
sin A = 3/13 = 13.3423638... ≈ 13.3°
The other angle is approximately 76.7°.
sin A = 3/13 = 13.3423638... ≈ 13.3°
The other angle is approximately 76.7°.
-
Always start by drawing a sketch
The angle opposite the 3-inch leg is sin^-1 ( 3/13 ) = you calculate ( answer A)
The other acute angle of the right triangle is = 90* - answer A =
The angle opposite the 3-inch leg is sin^-1 ( 3/13 ) = you calculate ( answer A)
The other acute angle of the right triangle is = 90* - answer A =