Answer:
The first angle is the smallest
Step-by-step explanation:
Step one:
given data
Angle 1= x+37
Angle 2= 90
angle 3= x+67
We know that the sum of angle in a triangle is 180
so
x+3+90+x+67= 180
collect like terms
2x+160= 180
2x=180-160
2x= 20
divide both sides by 2
x= 10
Step two:
so
Angle 1= 10+37= 47 °
Angle 2= 90= 90
angle 3= 10+67= 77 °
Answer:
183.27miles
Step-by-step explanation:
Note that we are considering two planes.
Plane 1
Speed = 140 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
140 mph = distance/2.5hrs
Distance = 140×2.5
= 350miles
Plane 2
Speed = 170 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
170 mph = distance/2.5hrs
Distance = 170×2.5
= 425miles
The angle between side is 25 degree
From cosine rule
c^2 = a^2 + b^2 − 2abcos(tetha)
Where a = 350
b = 425miles
c^2 = 350^2+425^2-2(350×425)(cos25)
c^2 = 122500+180625-297500(0.906)
c^2 = 303125-269535
c^2 = 33590
C = √33590
C = 183.27miles
The distance they flew apart after 2.5hrs is 183.27miles
