A right triangle has sides of x=4.6m and y=3.2m. x^2+y^2=r^2 a) Find the value o

Question

A right triangle has sides of x=4.6m and y=3.2m.

x^2+y^2=r^2

a) Find the value of r (the length of the hypotenuse)

_________m

b)Find the value of the interior angles. Express your answers in degrees and radians.

smaller interior angle

_________ degrees

__________ radians

larger interior angle

___________ degrees

___________ radians

c) Find the sine, cosine, and tangent of the smaller interior angle

sine_______

cosine______

tangent_________

d) Find the sine, cosine, and tangent of the larger interior angle

sine________

cosine_______

tangent________

Explanation / Answer

a.) r = sqrt(4.6^2 + 3.2^2) = 5.604 m

b.) smaller interior angle = theta1 = tan^(-1) (3.2/4.6) = 34.82 degrees = 0.608 radians

alrger interior angle = theta2 = tan^(-1) (4.6/3.2) = 55.18 degrees = 0.963 radians

c.) sin(theta1) = 0.571

cos(theta1) = 0.821

tan(theta1) = 0.696

d.) sin(theta2) = 0.821

cos(theta2) = 0.571

tan(theta2) = 1.4375

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