Consider the attached figure. All the triangles shown are similar, so
CB/CA = CD/CB
30/50 = projection/30
projection = 30^2/50
projection = 18
Answer:
4.2 ft
Step-by-step explanation:
Reference angle = 77°
Opposite side = DE = x
Hypotenuse = CD = 4.3 ft
Apply the trigonometric function of sine. Thus:
Sin 77 = opp/hyp
Sin 77 = x/4.3
Multiply both sides by 4.3
4.3 × sin 77 = x
x = 4.2 ft (nearest tenth)
The three inside angles of a triangle need to equal 180 degrees.
This means X = 180 - 43 - 59 = 78 degrees.
X and Z make a straight line that also needs to equal 180 degrees,
so Z = 180 - 78 = 102 degrees.
Y = 180 - 102 - 13 = 65 degrees.
The answer is rational, because this number can be written as a over b
