Trigonometry: Real-World Applications
This is a free lesson from our course in Trigonometry
 
   
In this lesson you'll learn some real-world applications of the trigonometry. To develop skills for understanding the real-world applications, it may be helpful to review the basics and explanations on Right-Triangle trigonometry, trigonometric functions & related graphs, and translation and stretching. Then extend the concepts and logic to solve application problems e.g. Right triangle trigonometry can be used to solve problems involving indirect measurement. A few examples are presented to show how it can help - say viewing Angle to an object, determining height of trees, buildings, determining vertical distance from the bottom of the ski lift to the top of the mountain, operating parameters related to flying planes etc. (More text below video...)
<h2> Trigonometry - Real-World Applications</h2> <p> Real-world applications, triangle, formula, area of triangle, trigonometry help, real world application, area, video, base, example, solution, height, semi perimeter, Heronís formula, application of trigonometry, trigonometry, math help, practice questions, quizzes</p> <p> To develop skills for understanding the real-world applications, it may be helpful to review the basics and explanations on Right-Triangle trigonometry, trigonometric functions & related graphs, and translation and stretching. Then extend the concepts and logic to solve application problems</p>
Other useful lessons:
Angles of Elevation and Depression
Indirect Measuring with triangles

(Continued from above) For example: if the plane is flying at an altitude of 3200 ft, and pilot has to lend it with descent angle (angle of depression) of 11 toward the runway, the measured distance along the ground shall be 164626 feet i.e. 31.2 miles.
Now you can explore on areas of triangles. You may recall learning from the geometry notes that the area of a triangle is equal to one-half of the base, times the height, i.e.,
     A = (1/2) (bh).
In case of non right triangle ABC, in which the height is unknown, the area of a triangle can be determined by the formulas learnt earlier.

For example, if a triangular lot has sides of 135 ft, 170 ft, and 120 ft, then for calculating the area, you may use Heron's Formula. Work out from the given three sides, semi perimeter i.e. s = 257.5. Substitute the value of s in formula,

A = s(s - a) (s - b) (s - c),
The area comes to 11450.1 ft2.
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