A small forest fire is cited due north of a fire lookout tower on Pikes Peak. From a second tower located 12.6 miles due west of
the first tower a Ranger observed that the fires is 49.5° east of duo North. How far is the fire from the tower Pikes Peak
1 answer:
Answer:
10.76 miles
Step-by-step explanation:
<em>The following figure can be drawn from the information given.</em>
<em>We have to find the adjacent side which is between the given angle and 90 degrees.</em>
<em>Tan formula will be applied</em>
Tan (anlge) = opposite/adjacent
Opposite = 12.6
Angle = 49.5°
Adjacent = x
Tan (49.5°) = 12.6/x
x = 10.76 miles
Therefore, the fire is 10.76 miles away from the tower Pikes Peak.
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Answer:
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.
Step-by-step explanation:
Let the number of rainbow sticker be x and number of balloon stickers be y.
Cost a single rainbow sticker= 6 cents
Cost a single balloon sticker= 4 cents
Cost a single x rainbow sticker= 6 cents × x
Cost a single y balloon sticker= 4 cents × y
Total number of stickers bought = 14
x + y =14 ..[1]
Total money spend on stickers = 68 cents
6x cents+4y cents=68 cents
...[2]
Putting value of from [1] into [2];
x = 14 - y
x = 14 -y =14 - 8 = 6
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.