Question

Find the measure of the angle A in degrees. Round to two decimal places

Answer 1

Given

To find the measure of the angle A in degrees.

Step-by-step explanation:

It is given that,

`\begin{gathered} Opposite\text{ }side=11.15 \\ Adjacent\text{ }side=7.9 \end{gathered}`

Then,

`\begin{gathered} tanA=(opp.side)/(adj.side) \\ =(11.15)/(7.9) \\ =1.41139 \\ A=tan^(-1)(1.41139) \\ A=54.6816 \\ A=54.68(Rounded\text{ }to\text{ }two\text{ }decimal\text{ }places) \end{gathered}`

Hence, the measure of angle A is 54.68.