The phrase "reached up" is often used to describe the act of extending one's arm to touch or grab something high up. However, there are several synonyms for this phrase that can be used to add variety to your writing. Some options include: stretched upwards, extended upward, raised up, elevated, lifted, grasped, seized, or snatched. Each of these synonyms carries a slightly different connotation, so choose the one that best fits the tone and mood of your writing. By incorporating different synonyms, you can help keep your writing fresh and engaging for your readers.