1. Lets' call:
H: The height of the flagpole.
x: The distance f<span>rom Adam’s position to the flagpole.
</span> y: The distance from Kevin’s position to the flagpole.
2. So, we have:
Tan(36°)=H/x ⇒ x=H/Tan(36°) (i)
Tan(50°)=H/y ⇒ y=H/Tan(50°) (ii)
3. We know that <span>Adam and Kevin are standing 35 meters apart. Then:
</span>
x+y=35 (iii)
4. Let's substitute (i) and (ii) in (iii):
x+y=35
H/Tan(36°)+H/Tan(50°)=35
H(1/Tan(36°)+1/Tan(50°)=35
5. When we clear "H", we obtain:
H=35/(1/Tan(36°)+1/Tan(50°))
H=15.79 meters
How high is the flagpole?
The answer is: 15.79 meters
Answer:
yes
Step-by-step explanation:
they are equivalent because 1 is half of 2 and 2 is half of 4
Answer:
The measure of the angles are 137 and 43
Step-by-step explanation:
Firstly, we need to understand what is meant by saying two angles are supplementary.Two angles are termed supplementary if the addition of the value of both angles equal 180.
Now let the two angles we are seeking in this question be x and y respectively
We write our first equation using the supplementary information;
x + y = 180 •••••••••••(i)
Secondly we are made to know that the difference between these angles is 94
Mathematically;
x - y = 94
or simply x = 94 + y; insert this into equation 1 above
94 + y + y = 180
2y = 180 - 94
2y = 86
y = 86/2
y = 43
x = 94 + y = 94 + 43 = 137
1/9=0.11111.....
so the correct option is (a).
Answer:
19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞ Range: - ∞ < y < ∞
Increases throughout Decreases throughout
Step-by-step explanation:
Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Increases throughout
______________________________
For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Decreases throughout
