Question

If a= 30 and b= 25 , find A Solve the problem, round to the nearest tenth if necessary.

Answer 1

Answer: A = 50.2 degrees

We are given a right angle triangle

Given that:

a = 30

b = 25

Line AB is the longest side which is the hypotenus

Line AC is the opposite sides

Using SOH, CAH, TOA

$\begin{gathered} \text{Tan A = }\frac{opposite}{\text{adjacent}} \\ Oppoiste\text{ = 30, adjacent = 25} \\ \text{Tan A = }\frac{30}{25} \\ \text{Tan A = 1.2} \\ \text{ Find the arc tan} \\ A=tan^{-1}(1.2) \\ A\text{ = 50.19} \\ A\text{ = 50.2 degr}ees \end{gathered}$