Respuesta :

Answer:

A = 36.397

B = 43.603

AC = 29

Step-by-step explanation:

Use the Tangent to find <A

Tan(A) = opposite / adjacent

opposite = 21

adjacent = 20

Tan(A) = 21 / 20 = 1.05

A = Tan-1(1.05)

A = 46.397

If you have confidence in your answer, you can just subtract this number from 90 since this is a right angle triangle and the two acute angles = 90 degrees.

C = 90 - 46.397

C = 43.603

AC is the hypotenuse of a right angle triangle.

c^2 = a^2 + b^2

a = 20

b = 21

c = ?

c^2 = 20^2 + 21^2

c ^2 = 400 + 441

c^2 = 841

sqrt(c^2) = sqrt(841)

c = 29

Count:3

Answer:

m<a = 43.6 degrees

m<c = 46.4 degrees

AC = 29