The measure of angle BAC can be calculated using the equation sine super negative 1 (StartFraction 3.1 Over 4.5 EndFraction) equals x.
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 4.5 inches and the length of C B is 3.1 inches. Angle C A B is x.
What is the measure of angle BAC? Round to the nearest whole degree.
0°
1°
44°
48°
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Given : A right angle triangle The length of hypotenuse A B is 4.5 inches and the length of C B is 3.1 inches.
To find : Angle CAB
Solution:
AB = 4.5
BC = 3.1
AC² = AB² - BC²
=> AC² = 4.5² - 3.1²
=> AC = 3.26
Sin ∠CAB = 3.1/4.5
=> Sin ∠CAB = 0.69
=> ∠CAB = 43.6°
=> ∠CAB = 44°
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