Aship at sea, the gladstone, spots two other ships, the norman and the voyager, and measures the angle between them to be 48°. the distance between the gladstone and the norman is 4590 yards. the norman measures an angle of 55° between the gladstone and the voyager. to the nearest yard, what is the distance between the norman and the voyager?

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

This activity will you meet these educational goals: mathematical practices-you will make sense of problems and solve them, reason abstractly and quantitatively, and usemathematics to model real-world situations.directionsread the instructions for this self-checked activity type in your response to each question, and check your answers. at theend of the activity, write a brief evaluation of your work.

Given: △abc, bc> ac, d∈ ac , cd=cb prove: m∠abd is acute