Why of all verbs is it 'see'?

Where the picture shows up in てみる

1. 1

   try it on and see

   この服、着てみてもいいですか。

   kono fuku, kite mite mo ii desu ka

   May I try this on?

   You slide your arms into the sleeves, stand in front of the mirror, and run your eyes down the shoulder line.

   Here みる is written in hiragana, not as the kanji 見る.

2. 2

   go on, give it a try

   一度食べてみてください。

   ichido tabete mite kudasai

   Please try it once.

   You pick up one piece with your chopsticks, hold it out, and wait for the look on their face.

3. 3

   ask and see

   部長に聞いてみます。

   buchō ni kiite mimasu

   I'll ask the manager about it.

   You knock on the manager's door and stand there waiting for an answer to come back.

4. 4

   want to try it myself

   自分でやってみたい。

   jibun de yatte mitai

   I want to try doing it myself.

   You take the tool out of someone else's hand and move it once with your own.

5. 5

   tried it, and here's what happened

   電話してみたけど、出なかった。

   denwa shite mita kedo, denakatta

   I tried calling, but nobody picked up.

   You hold the phone to your ear, count three rings, and put it back down.