The shadow's length measures 96.6. To find the distance, you can use a right-angle triangle method if you know the angle of elevation. Here, (a) is the adjacent side, (b) is the hypotenuse, and (c) is the opposite side. We know that the adjacent side (a) equals 40, while the opposite side (b) is unknown. The tangent of the angle θ is given by opposite/adjacent; thus, tan 67° = opposite/40. Therefore, the opposite side equals tan 67° multiplied by 40, leading to an adjacent length of 96.6.
To tackle this issue, we need to clarify what each variable stands for. Here, n indicates the number of pencil packages purchased by Yolanda, while m represents the number of paper pads she buys. We calculate the total cost by multiplying these variables by their individual prices, which helps us determine the expense for both pencil packages and pads of paper.
The expression "1.4n" indicates the overall cost for n pencil packages.
On the other hand, "1.2m" signifies the complete expense for m pads of paper.
As we sum these two expressions, the resulting total reflects the overall expenditure for both items.
The equation "1.4n + 1.2m" summarizes this calculation.
I hope this provides clarity!
