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Trigonometry and Pythagorean (Pythagorus) Theorem Problems

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1.-In a right triangle with the hypotenuse c = 10 and the angle A =50 degrees ,what is the value of side b ?

2.- If in a right triangle the angle A = 40 degrees ,and the side a = 5,what is the value of side b ?

3.-If in a right triangle the hypotenuse c =12 and the side b = 5, what is the value of the angle A ?

use natural trigonometric functions in the next 2 problems

4.- The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42'.
What is the length of the side adjacent to the given angle?

5.-In an isosceles triangle each of the equal side is 10 meters and the base is 16 meters. Find the vertex angle accurate to the next minute.

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