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The question is about trigonometry solving two sides it is a right triangle hypotenuse is X left side is 20 bottom side is 21 i need to find X and what degrees is angle A and B and C is already 90 degrees please help!!

The question is about trigonometry solving two sides it is a right triangle hypotenuse is X left side is 20 bottom side is 21 i need to find X and what degrees class=

Respuesta :

Answer:

x = 29

Angle A = 46.4°

Angle B = 43.6°

Step-by-step explanation:

Since it is a right angle triangle, we can find x from pythagoras theorem;

x = √(20² + 21²)

x = √(400 + 441)

x = √841

x = 29

Using trigonometric ratios we can find angles A and B.

Opposite is 20

Adjacent is 21

Thus; opp/adj = tan B

20/21 = tan B

B = tan^(-1) 0.9524

B = 43.6°

Sum of angles in a triangle is 180°. Thus;

A = 180 - (90 + 43.6)

A = 46.4°

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