Fabian bought 223 feet of wood to build
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Answer:
Step-by-step explanation:
Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:
and
1369 = 144 + b² and
1225 = b² so
b = 35
The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35
For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base of the prism
h: It is the height
Where:
w: is the width
l: is the length
According to the data of the statement we have:
Substituting the data we have:
We choose the positive value:
So the height is
Answer: