Sarah has a make your own candle set that includes a block of wax in the shape of a rectangular prism. The block of wax has a le
ngth of 8 inches, a width of 6 inches, and a height 3 inches. She wants to make 4 cylindrical candles called pillar candles. Each candle mold will have a diameter of three inches and a height of 6 inches. Does she have enough wax to make the pillar candles? If not, how many complete candles can she make
1 answer:
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Answer:
<em>x = 437.3 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.
We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.
Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:
Solving for x:
Calculating:
x = 437.3 ft
