Question

Solve the right triangle.
Round your answers to the nearest tenth.

Answer 1

A= 42 degrees

a = 27

c= 40.4

Explanation:

48 - 90 = 42 (we know the remaining angle area is 90 because its a right triangle and a traingle is 180 degrees)

to find the answer of a we need to use tan(48) and when you convert that to radians you get 1.1106 ish tan is opposite over adjacent and we know the opposite is 30 but we dont know a so we put
`(30)/(a)` = 1.1106 and put a on both sides so you divide 30 by 1.1106 and dget 27.0124 and round to the nearest tenth to get 27

to find c you need to find the hypotanuse which is
`a^(2)`+
`b^(2) =c^(2)`

30 squared is 900 add that to 27 squared which is 729 and you get 1629

find the square root of 1629 to get 40.3608 and then round that to the nearest tentth to get 40.4

Answer 2

Answer: A= 42 degrees

Explanation:

A= 180-90-48=42 (degrees)