Answer:
44.73 m
Step-by-step explanation:
Given that the angle of elevation of an unfinished tower from a point of 120m away from its base is 25 degrees.
Using trigonometry ratio, the height of the tower can be calculated by
Tan Ø = height / base
Tan 25 = height / 120
Make height the subject of formula
Height = 120 × tan 25
Height = 55.96 m
How much higher will the tower need to be raised so that its angle of elevation from the same point will be 40 degrees?
Using the same formula to calculate the new height.
Tan 40 = new height / base
Tan 40 = new height / 120
Make the new height the subject of the formula.
New height = 120 × tan 40
New height = 100.69 m
Increase in height = new height - height
Increase in height = 100.69 - 55.96
Increase in height = 44.73m
Therefore, the tower will need 44.73m to be raised so that its angle of elevation from the same point will be 40 degrees.
Answer:
2. a and b only.
Step-by-step explanation:
We can check all of the given conditions to see which is true and which false.
a. f(c)=0 for some c in (-2,2).
According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.
b. the graph of f(-x)+x crosses the x-axis on (-2,2)
Let's test this condition, we will substitute x for the given values on the interval so we get:
f(-(-2))+(-2)
f(2)-2
-1-1=-3 lower limit
f(-2)+2
1+2=3 higher limit
according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.
c. f(c)<1 for all c in (-2,2)
even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.
The final answer is then 2. a and b only.
Answer:
d.2/6 has a repeating decimal form
Answer:
-13
-10
Step-by-step explanation:
A x = B
To find X
A ^ -1 A x = A ^ -1 B
x = A^ -1 B
x = -3/2 -5/2 2
-1 -2 4
Across times down
-3/2 * 2 + -5/2 *4 = -13
-1 *2 -2 * 4 = -10
The matrix is
-13
-10
The anwser is 5/14...... hope this helps! :)
