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Home > CCG > Chapter 9 > Lesson 9.2.4 > Problem 9-106

9-106.

York County, Maine, is roughly triangular in shape. To help calculate its area, Sergio has decided to use a triangle to model the region, as shown at right. According to his map, the border with New Hampshire is miles long, while the coastline along the Atlantic Ocean is approximately miles long. If the angle at the tip of Maine is , as shown in the diagram, what is the approximate area of York County?  

A triangle with a 43 degree angle between the left side, Border with New Hampshire, and the right side, the Atlantic Ocean.

Find the height of the triangle.

Then use this to find the area of the triangle:

A line is dropped from the vertex opposite the Atlantic Ocean side perpendicular to that side.

square miles