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Is it important to adopt a procedure in solving problems involving right triangles using trigonometric ratios? Why?

Sagot :

renzel0

Answer:

Many real situations involve right triangles. In your previous study of geometry you may have used right triangles to solve problems involving distances, using the Pythagorean Theorem. In this lesson you will solve problems involving right triangles, using your knowledge of angles and trigonometric functions. We will begin by solving right triangles, which means identifying all the measures of all three angles and the lengths of all three sides of a right triangle. For example, You are standing 20 ft. away from a tree, and you measure the angle of elevation to be 38 degree. How tall is the tree? So, in this case u need to draw a sketch first in order to gain an understanding of the given problem. After that, you label the drawing so that you wouldn’t be confuse in solving. Since, we know that a triangle measures 180 degree and we are dealing now with right triangle which measures either 45-45-90 or 30-60-90 angles (special triangles). And of course we should not forget the SOH CAH TOA. By the information, it is easy for us to solve then. In solving, first thing to do is identify where is the opposite side, adjacent side and hypotenuse side. After that, refer it to the given and the hint. Use tangent to solve the height of the tree. So, tangent is equal to opposite side divide by adjacent side. Solutions:

tan38 = x/20

X= 20(tan38)

X = 15.63ft

According to the definition of the solutions of right triangles, “the use of trigonometry to find relationships between lengths of sides and measurements of angles in triangles has applications in fields such as engineers, physics, astronomy, and navigation”. Let say for instance, in physics without knowing the right triangle we cannot solve problem like finding the displacement or distance of a certain object if we did not study the triangles. In navigation also it is important to study right triangles because it helps us understand further on how to know the prone areas in the sea. And by the knowledge we have, we can determine if there is another boat sailing. It is very important also because it serves as our assurance of safeness.

mga kaugnayan:

https://melissaspicegirl.wordpress.com/2013/08/08/importance-of-studying-solutions-of-right-triangles-in-real-life-situation/

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