How closely does a line of best fit matches a set of data?
1 answer:
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Answer:
24.72 m
11.53 m
Step-by-step explanation:
Horizontal distance AB can be obtained from △ABC
From trigonometry :
Sin18° = opposite / hypotenus
Sin18° = AB / 80
AB = 0.3090169 * 80
AB = 24.72 m
The height BT, of tower from △ABT
From trigonometry :
Tan25° = opposite / Adjacent
Tan25° = h / 24.72m
h = Tan25 * 24.72
h = 11.527
h = 11.53 m
Hence, height of tower BT = 11.53 m
To solve this problem, set up and solve a system of equations. The variables b and m will represent a bread loaf and milk jug, respectively:
I would solve using substitution. Take one of the equations and set it equal to one of the variables, for example:
Now, plug this into the other equation for m and solve for b:
We now know that a loaf of bread costs $2.50. Plug this value in for b in the first equation and solve for m:
One jug of milk costs $1.50 and one loaf of bread costs $2.50.
I would solve using substitution. Take one of the equations and set it equal to one of the variables, for example:
Now, plug this into the other equation for m and solve for b:
We now know that a loaf of bread costs $2.50. Plug this value in for b in the first equation and solve for m:
One jug of milk costs $1.50 and one loaf of bread costs $2.50.