Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Find the tangent of ∠E.

Write your answer as an integer or as a decimal rounded to the nearest hundredth.
tan

(E) =

Answer 1

Answer:
`tan(E)=1.70`

Explanation:

For this exercise you need to remember the following Trigonometric Identity:

`tan\alpha =(opposite)/(adjacent)`

You must observe the figure given in the exercise.

You can notice that the given triangle EFG is a Right triangle (Right triangles are defined as those triangles that have an angle that measures 90 degrees).

So, you can identify in the figure that:

`\alpha=E\\\\ opposite=FG=56\\\\adjacent=EF=33`

So, knowing these values, you can substitute them into
`tan\alpha =(opposite)/(adjacent)` and then you must evaluate (Remember to round the result to the nearest hundreth).

Therefore, through this procedure you get:

`tan(E)=(56)/(33)\\\\tan(E)=1.70`