Answer:
x = 76°
z = 14°
y = 42°
Step-by-step explanation:
48 + 2x = 180° because these three makes a straight line
2x = 180 - 48
2x = 132
x = 76°
x + z = 90° because these two angles are complementary angles since we know the value of x
76 + z = 90°
z = 90 - 76
z = 14°
48° + y = 90° because these two angles are complementary angles
y = 90 - 48
y = 42°
All angles in a triangle add to 180 so
B = 180 - 90 - A
B = 90 - 20.8
B = 69.2
Can find b with tangent of A
tangent is opposite over adjacent.
opposite to A = 20.8 is 11.2 and adjacent is b
tan(20.8) = 11.2 / b
b = 11.2 / tan (20.8)
b = 29.5
c can be found with sine of A
sin(20.8) = 11.2 / c
c = 11.2 / sin(20.8)
c = 31.5
B = 69.2°, b = 29.5, c = 31.5
Answer:
the number of hours taken is 2
Step-by-step explanation:
The computation of the number of hours taken is shown below:
As we know that
Distance = travel time × speed
The Guillermo to catch Dorabella be t = T
So the equations would be
9T = 4 + 7T
9T - 7T = 4
2T = 4
T = 2 hours
hence, the number of hours taken is 2
