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never [62]
3 years ago
5

Emily measured the height of a dresser as 4.27 feet, but the actual height was 4 feet. What is the percentage of error in Emily’

s measurement?
Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
We need to find the percentage of the extra feet that she measured, so first we have to find out how much that is. We can do this by simply subtracting:

4.27 - 4 = 0.27

Now we can set up a proportion to find the percentage.

\frac{0.27}{4}  \frac{x}{100}

Solve for x

0.27 x 100 = 27
27/4 = 6.75

The answer is 6.75% :)

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
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Answer:

The answer is 5.

Step-by-step explanation:

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Sam the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. How fa
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Answer:

24.59 feet

Step-by-step explanation:

Let x represent the distance between Sam and the bird.

We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.

We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(24^{\circ})=\frac{10}{x}

x=\frac{10}{\text{sin}(24^{\circ})}

x=\frac{10}{0.406736643076}

x=24.5859333557

x\approx 24.59

Therefore, the bird is approximately 24.59 feet away from Sam.

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