Simply replace the unfilled areas such as "" and "[date]" with your information.
Dear [Hiring Manager],
I am a [Electrical/ Mechanical] Engineering with a outstanding background in [area of expertise]. I am writing to express my interest in your [Position Name] position. My skills and expertise can help your company grow by delivering quality [industry] solutions.
My qualifications include a [degree level] in [degree field]. My additional training includes [relevant training]. My background consists of over [number] years of designing [relevant projects]. My experience includes successfully completing critical projects for [company's/ client's] such as [Name] and [Name]. Additionally, my technical skills include [relevant engineering software].
My knowledge would be a valuable asset to your company in the position of [Position Name]. My engineering abilities coupled with my [soft professional skill] skills helps me to [how skill affects work]. My [another soft skill] and [additional soft skill] allows me to make a positive and productive work environment for all of my associates.
My additional capabilities are listed in the enclosed resume. So that we may discuss this matter further, I will be contacting you office this week to set up a time to meet.