Answer:
37.7
Step-by-step explanation:
EF and ED define the Tangent of D
Tan(37) = side opposite D / side adjacent to D
Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle
Adjacent means the leg that is connected to the angle, but is not the hypotenuse.
Tan(D) = opposite over adjacent
Opposite = x
Adjacent = 50
Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.
0.7536 = x / 50 Multiply both sides by 50
0.7536*50 = x
x = 37.6777
The nearest 1/10 is 37.7
The area of the rectangle is 47 1/2
Answer:
6 inches.
Step-by-step explanation:
Set up a proportion and solve for the missing variable.

Answer:45
Step-by-step explanation:
Answer:
Step-by-step explanation:
Right triangle trig. Super fun! We are given the vertex angle of 27 degrees. The side across from that angle is 4, and we are looking for the hypotenuse of the triangle. That is the trig ratio sin. sin of an angle is equal to the side opposite over the hypotenuse:
and, solving for hyp:
. Do that on your calculator in degree mode to get that the hypotenuse, side BD is 8.8 units.