5. Lila flies a drone in the direction of 90 degrees towards Avery. Once she gets to Avery she changes course and flies in the d
irection of 200 degrees towards Mark. Lila and Avery are 20 feet apart; Mark and Avery are 30 feet apart. How far apart are Mark and Lila?
1 answer:
Answer:
Mark and Lila are 29.83 meters apart.
Step-by-step explanation:
If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 30^2 + 20^2 - 2*30*20*cos(70)
c^2 = 900 + 400 - 1200*0.342
c^2 = 889.6
c = 29.83 m
Mark and Lila are 29.83 meters apart.
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Answer:
The system of inequalities that represents this situation will be:
Step-by-step explanation:
- Let 'f' represent the first number
- Let 's' represent the second number.
Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.
- so the inequality would be: f + s < 10
Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.
- so the inequality would be: f-s > 3
Thus, the system of inequalities that represents this situation will be: