Answer:
4 minutes
Step-by-step explanation:
The value of 7k "minutes past nine" is the same as 8k" minutes to ten".
Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:
7k = 60 - 8k
7k + 8k = 60
15k = 60
k = 60 / 15
k = 4 minutes
For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft
Answer:
193.53 miles
Step-by-step explanation:
Please see the diagram for understanding of how the angles were derived,
Applying Alternate Angles, ABO =77 degrees
The bearing from B to C is 192=180+12 degrees
Subtracting 12 from 77, we obtain the angle at B as 65 degrees.
We want to determine the boat's distance from its starting point.
In the diagram, this is the line AC.
Applying Law of Cosines:

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).
Answer: step-by-step
Step-by-step explanation:
answer: 10
to solve you have to follow PEMDAS