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murzikaleks [220]

3 years ago

9

How to solve this problem

1 answer:

shepuryov [24]3 years ago

3 0

I cant tell if this is french or spanish but please translate so we can try to help you

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You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

Please help!!!!!!1 <br><br> 5x+y=23

d1i1m1o1n [39]

Answer:

x=4 y=3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If EFGH is a parallelogram, what is the value of x?

Leokris [45]

To be a parallogram the 2 angles shown need to equal 180 degrees

so we have: 34 + (4x-2) = 180

now we can solve for x

34 + 4x -2 = 180

simplify the left side by subtracting 2 from 34

32+4x =180

subtract 32 from each side:

4x = 148

divide both sides by 4 to get x

x = 148 / 4

x = 37

The answer is B

5 0

4 years ago

If it costs $90 to feed a family of 3 for one week. (3 points) Unit 8 lesson 4

liubo4ka [24]

X = number of weeks
1 week =
3x = $90
Divide by 3
3x/3 = x
$90/3 = $30
1 person = $30 per week
x 5
5 people = $150 per week

x6
6 people = $180 per week

3 0

3 years ago

Which figure is made with all triangular faces?

Anna35 [415]

The anser is c. Triangular pyramids!

Triagular pyramids or tetrahedrons, are composed of only triangular shaped sides.

Hope this helps, if not, comment below please!!!

:L

3 0

3 years ago