A map of Oklahoma uses a scale of 1.25 inches = 50 miles Ig Piedmont and Tulsa are 3.5 inches apart on the map how far is it to
1 answer:
Answer:
280 miles
Step-by-step explanation:
It is given that :
Scale : 1.25 inches = 50 miles
In the map the distance between Piedmont and Tulsa is = 3.5 inches
So the actual distance between Piedmont and Tulsa in miles is given by :
1.25 inches = 50 miles
So, 3.5 inches = miles
= 140 miles.
So when we go from Piedmont to Tulsa, it is 140 miles and we go back from Tulsa to Piedmont, it is another 140 miles.
Therefore, total distance = 140 + 140
= 280 miles
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Answer:
cosФ = , sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ =
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =
- sinФ =
- tanФ =
- secФ =
- cscФ =
- cotФ =
- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r =
∵ x = 1 and y = -8
∴ r =
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ =
∴ cosФ =
∵ sinФ =
∴ sinФ =
∵ tanФ =
∴ tanФ = = -8
∵ secФ =
∴ secФ = =
∵ cscФ =
∴ cscФ =
∵ cotФ =
∴ cotФ =