Question

Consider the right triangle in the figure below and determine the value of a, b, c, and d.

Answer 1

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: brainly.com/question/9445713?referrer=searchResults