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faltersainse [42]
3 years ago
9

Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to g

et an accurate measurement, but determines that the angle of elevation is between 55 degrees and 75 degrees.

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0
The complete question in the attached figure 

step 1
find the tree height for an angle of elevation of 55°<span> 
tan 55</span>°=opposite side angle 55°/adjacent side angle 55°
opposite side angle 55°=the tree height h1
adjacent side angle 55°=10 ft
so
tan 55°=h/10-------> h=10*tan 55°-----> h=14.28 ft

step 2
find the tree height for an angle of elevation of 75° 
tan 75°=opposite side angle 75°/adjacent side angle 75°
opposite side angle 75°=the tree height h2
adjacent side angle 75°=10 ft
so
tan 75°=h2/10-------> h2=10*tan 75°-----> h2=37.32 ft

therefore

<span>the height of the tree is within the range [14.26,37.32]
</span>
Part 1) 4.2 ft

<span>the value is not in the interval [14.26,37.32]
therefore
 it is </span>Not Reasonable

Part 2) 14.7 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 3) 24.4 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 4) 33.9 ft

the value is in the interval [14.26,37.32]
therefore
 it is Reasonable

Part 5) 39.1ft

the value is not in the interval [14.26,37.32]
therefore
 it is Not Reasonable

Part 6) 58.7 ft

the value is not in the interval [14.26,37.32]
therefore
 it is Not Reasonable

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3 years ago
Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.​
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7 0
2 years ago
Read 2 more answers
34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1
bixtya [17]

Answer:

The monthly payment is $35.10.

Step-by-step explanation:

p = 510

r = 13.9/12/100=0.011583

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The EMI formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

Now putting the values in formula we get;

\frac{510\times0.011583\times(1+0.011583)^{16} }{(1+0.011583)^{16}-1 }

=> \frac{510\times0.011583\times(1.011583)^{16} }{(1.011583)^{16}-1 }

= $35.10

Therefore, the monthly payment is $35.10.

8 0
3 years ago
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STALIN [3.7K]
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Please help explanation if possible
Nookie1986 [14]

Answer:

y=-3x+5

Step-by-step explanation:

concepts: y=mx+b is slope intercept equation formula

m=slope

b= y intercept

Therefore we need to find the slope and y intercept

first find slope

m=\frac{y2-y1}{x2-x1}

let y2 be 2

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let x2 be 1

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5 0
3 years ago
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