Solve ΔPQR Your answer should include the length of r and the measures of angle P and angle Q. Include all relevant calculations, and use the correct units for all measures. Be sure explanations are written in complete sentences.

9514 1404 393

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

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The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841