Common Core Mathematical Content Standards:
8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
For 8th grade, students could solve the angle measure by creating a diagram on graph paper and measuring the angle with a protractor.
HS.G.STR.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Grade 8, High School
The following are links to career videos related to this lesson.
Mechanical Design Engineer – Brian Danielson, Lindquist Machine Corporation 2017
Materials Planner – Megan Lambrecht, Nercon Eng. & Mfg., Inc. 2015