The value of b is 61°.
you solve by doing this:
add up the two given angles, 58° and 61° to get 119°. then you subtract from 180° to get 61.
Answer:
∠3 = 60°
Step-by-step explanation:
Since g and h are parallel lines then
∠1 and ∠2 are same side interior angles and are supplementary, hence
4x + 36 +3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°
∠ 2 and ∠3 are alternate angles and congruent, hence
∠3 = 60°
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,
r = t⁵/t⁸ = t²/t⁵
The answer, r = t⁻³.
The next three terms are,
n₄ = (t²)(t⁻³) = t⁻¹
n₅ = (t⁻¹)(t⁻³) = t⁻⁴
n₆ = (t⁻⁴)(t⁻³) = t⁻⁷
The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively.
Answer:
The maximum possible error of in measurement of the angle is 
Step-by-step explanation:
From the question we are told that
The angle of elevation is 
The height of the tree is h
The distance from the base is D
h is mathematically represented as
Note : this evaluated using SOHCAHTOA i,e

Generally for small angles the series approximation of 

So given that 


=> 
Now from the question the relative error of height should be at most
%
=> 
=> 
=> 
So for 

substituting values
![d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p](https://tex.z-dn.net/?f=d%20%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%20%3D%20%20%5Cpm%20%20%5Cfrac%7B%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%2B%20%20%5Cfrac%7B%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%5E3%20%7D%7B3%7D%20%7D%7B1%2B%20%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%5E2%7D%20%2A%20%20%20%20%5C%20p)
=> 
Converting to degree


Hope this helps :)
So the carpets length is 56in. And the width is 30in.