Find the nearest unit, the length of the longer leg of a right triangle if the length of the hypotenuse is 8 and the measure of an acute angle is 22
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the length of the longer leg of a right triangle = 7.4 unit
Step-by-step explanation:
measure of an acute angle is 22
=> Sin 22° = Perpendicular/Hypotenuse
& Cos22° = Base/Hypotenuse
Sin 22° = Perpendicular/Hypotenuse
=> 0.375 = Perpendicular/8
=> Perpendicular = 3
Cos 22° = Base/Hypotenuse
=> 0.927 = Base/8
=> Base = 7.4
the length of the longer leg of a right triangle = 7.4 unit
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