(07.01 HC) Use the image below to answer the following:

a.) What is the size of angle x? Round your answer to the nearest hundredth. (4 pts)

b.) What is the size of angle y? Round your answer to the nearest hundredth. (3 pts)

c.) What relationship exists between angles x and y? (3 pts)

9514 1404 393

  a) x ≈ 36.87°

  b) y ≈ 53.13°

  c) they are complementary

Step-by-step explanation:

a) The tangent relation is useful:

  Tan(x°) = Opposite/Adjacent = 3/4

  x° = arctan(3/4) = 36.87°

__

b) The tangent relation is useful:

  Tan(y°) = Opposite/Adjacent = 4/3

  y° = arctan(4/3) = 53.13°

__

c) The acute angles in a right triangle are complementary angles.

Dear Gentleman Scholar —

Recently, I nearly reduced a woman to tears when she gently proffered her hand to me at a work conference and I vigorously squeezed it and yanked her around like the Incredible Hulk shaking hands with Raggedy Ann. There was much metacarpal cracking and muted whimpering. Having (I thought) learned my lesson, later at the same event when another women extended her hand, I very gently held hers and then released. There were no injuries this time, but she glared at me as if I had just handed her a dead fish. How does a gentleman shake hands with a lady? Am I supposed to shake it, caress it, kiss it, just hold it for a moment? What gives?

Yours,

Finishing School Dropout