This is a free lesson from our course in Trigonometry
In this lesson you'll learn some realworld applications of the trigonometry. To develop
skills for understanding the realworld applications, it may be helpful to review
the basics and explanations on RightTriangle 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...)
(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 onehalf 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 ft^{2}.
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