It's a trigonometry question.
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The length of the hypotenuse x will be equal to x=89.72 cm.
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given in the question that:-
The base is = 54 cm
Angle just opposite the base is =37
So the angle with the base will be =180-90-37=53
So by applying the cosine formula for the right-angled triangle:-
Cos Ф=(B)/(H)
Cos 53=(54)(x)
x=(54)(Cos53)
x=889.72 cm
Hence the length of the hypotenuse x will be equal to x=89.72 cm.
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