Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

9514 1404 393

  ∠P = 28.07°

  ∠O = 61.93°

Step-by-step explanation:

The tangent relation is useful when sides of the right triangle are given.

  tan(x°) = Opposite/Adjacent = 8/15

  x° = arctan(8/15) ≈ 28.07° . . . . angle at P

The other acute angle in a right triangle is the complement:

  ∠O = 90° -x° = 90° -28.07°

  ∠O = 61.93°

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl