Answer:
119.45 m
Step-by-step explanation:
Given:
When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.
To find:
Length of pole = ?
Solution:
Kindly refer to the attached image.
represents the 1st angle of elevation of sun i.e. 58°
represents the 2nd angle of elevation of sun i.e. 36°
Change in shadow is represented by CD = 90 m
Let height of pole, AB =
m
Let side BC =
m
Now, let us apply tangent rules in
one by one:


Putting value of
using equation (1):

119.45 m is the height of pole.
57 miles because of they are driving 38 miles per hour that means in 1 hour they drive 38 miles. So if they drove for an hour and a half you take 38 and half of 38( which is 15) and you add them together.
Answer:
a(1) = 10
a(n) = a(n-1)·0.6
Step-by-step explanation:
The first term of the sequence is the one listed first: 10. That means a(1) = 10.
The next term of the geometric sequence will be the first term multiplied by the common ratio. That ratio can be found as the ratio of the second term to the first:
r = 6/10 = 0.6
So, the recursive formula is ...
a(n) = a(n-1)·r
a(n) = a(n-1)·0.6
The answer for the exercise shown above is the second option, the option B, which is: B. In step 3, the addition property of equality was applied incorrectly.
The explanation is:
To solve this problem you must apply the proccedure shown below:. You have the followinwg equation:
<span>
4(m-3)+5(m+2)=m+9
Let's review the steps:
4m-12+5m+10=m+9 (step 1)
9m-2=m+9 (step 2)
8m =7 (step 3) (There is a mistake, because: 9m-m=9+2</span>⇒8m=11)
<span> m=11/8 This should be the step 4</span>