The unknown values are as follows:
a = 48.7°
b = 51.43
c = 12.16
d = 122.39
Properties of a right angle triangle:
One angle is equals to 90 degrees
- The sides and angle can be calculated using trigonometric ratios
Therefore,
sin 72.3° = opposite / hypotenuse
sin72.3° = 49 / b
b = 49 / sin 72.3
b = 49 / 0.95266148125
b = 51.4348495916
b = 51. 43
a = (180 - 90 - 23.6) - (180 - 72.3 - 90)
a = 66.4 - 17.7
a = 48.7°
tan 23.6 = opposite /adjacent
tan 23.6 = 49 / c
c = 49 / tan 23.6
c = 112.158945248
c = 12.16
sin 23.6 = opposite /hypotenuse
sin 23.6 = 49 / d
d = 49 / sin 23.6
d = 49 / 0.40034903255
d = 122.39
learn more on right angle triangle: https://brainly.com/question/9445713?referrer=searchResults
