So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
$\frac{opposite}{hypotenuse}=sin\theta,\theta=30,opposite=10,hypotenuse=?$
plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special

6 0

3 years ago

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Anise wants to have longer hair than her sister. Her sister's hair is 2.25 feet long. How long does Anise's hair have to

rodikova [14]

The answer has to 2.26 because 2.26 is bigger than 2.25

3 0

3 years ago

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At a movie theater, an adult ticket costs $10 and a child ticket costs $6. There were 350 people at a movie showing. The revenue

Wittaler [7]

X - number of the adults, y - number of children;
The system is:
10 x + 6 y = 3292
x + y = 350 => y = 350 - x
----------------------
10 x + 6 * ( 350 - x ) = 3292
10 x + 2100 - 6 x = 3292
4 x = 3292 - 2100
4 x = 1192
x = 1192 : 4
x = 298
y = 350 - 298
y = 52
Answer:
There were 598 adults and 52 children at the showing.

6 0

3 years ago