Samuel fell asleep after they had travelled 90 miles. if the total length of the trip was 600 miles, what percentage of the total trip had they travelled when samuel fell asleep?

Step-by-step explanation:

The total length of the trip = 600 miles

Samuel fell asleep after they had travelled  = 90 miles

Percentage of the total trip travelled when samuel fell asleep =

= 15%

Samuel fell asleep after travelling 90 miles which is 15%of their total trip distance.

B

Step-by-step explanation:

Preliminary

From A, drop a perpendicular to the line BC.

The line BC has to be extended to your right.

Call the intersection point D.

Find angle ABD

ABD and ABC = 180                   They are supplementary angles.

140 + ABD = 180

ABD = 40

Find AD

Sin(theta) = AD/AB

AB = 25

Theta = 40

Sin(theta) = AD / 25

Sin(40) = 0.6428

0.6428 = AD / 25                       Multiply both sides by 25

AD = 25*0.6428

AD = 16.07

Find the Area of ABC.

The height = 16.07

The base = 40 m

Area = 40*16.07 / 2

Area = 321.4 m^2