Let the oranges cost = x
Let the apples cost = y
According to given conditions, equation becomes:
.... (1)
.....(2)
Multiplying equation (1) by 8 and equation (2) by 12 to get y
96x+48y=43.04 .... (3)
96x+60y=44.16 .... (4)
Now subtracting both equations we get,
12y = 1.12
y = 0.093
Hence, cost of 1 apple = $0.093
As 12x+6y=5.38
12x+6(0.093)=5.38
12x=4.822
x = 0.40
Hence, cost of 1 orange = $0.40
Answer: approximately <u>188.07</u> feet
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Explanation:
Refer to the diagram below. Note that the 62 degree angle is from the fact that 90-28 = 62.
With the reference angle 62 degrees in mind, we have an unknown opposite side x feet and a known adjacent side 100 feet.
Use the tangent trig ratio to tie the two sides together, and then solve for x.
tan(angle) = opposite/adjacent
tan(62) = x/100
100*tan(62) = x
x = 100*tan(62)
x = 188.072646534633 approximately
x = 188.07 feet approximately
Your calculator needs to be in degree mode. One way to check is to compute something like tan(45) and the result should be 1.
