Solve for missing sides of a right triangle given the length of one side and measure of one angle.
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Below is a triangle with angle measure 51° and side length of measure 16.5. Find the missing side lengths and angle measures.
A shipmate set a boat to sail exactly 27° NE from the dock. After traveling 120 miles, the shipmate realized he had misunderstood the instructions from the captain; he was supposed to set sail going directly east! The boat is now due north of his destination.
a) How many miles would the boat have traveled if the shipmate followed the directions of the captain?
b) How many miles is the boat off course after traveling for 120 miles at 27° NE?
Geometry > Module 2 > Topic E > Lesson 28 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Find the base of the triangle:
Geometry > Module 2 > Topic E > Lesson 28 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Given right triangle $${A{BC}}$$ with hypotenuse $${AB=8.5}$$ and $${m\angle A=55^\circ}$$, find $${AC}$$ and $${BC}$$ to the nearest hundredth.
Geometry > Module 2 > Topic E > Lesson 28 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..