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I need help right away ASAP!!!Please help me please finding the missing angle

I need help right away ASAP!!!Please help me please finding the missing angle-example-1

2 Answers

3 votes

Answer:

x = 57.2

Explanation:

first : the third angle is (the sum of all angles in a triangle is always 180 degrees) : 180 - 90 - 40 = 50 degrees.

law of sines :

x/sin(50) = 48/sin(40)

x = 48 × (sin(50)/sin(40)) = 57.2

User Archaeron
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\\ \sf\longmapsto tan\Theta=(P)/(B)


\\ \sf\longmapsto tan40=(48)/(x)


\\ \sf\longmapsto 0.8=(48)/(x)


\\ \sf\longmapsto 0.8x=48


\\ \sf\longmapsto x=(48)/(0.8)


\\ \sf\longmapsto x=60

User Sormuras
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