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:
y = x^2 - 3
Step-by-step explanation:
<u>Quadratic function in general form:</u>
The graph opens up if a>0, opens down if a < 0
<u>The function that opens up is:</u>
Find angle a2 which is 40 degrees because it is parallel to angle c.
Find the total of d1 and d2.
total of d1 and d2: 180 - 40 - 40 = 100 degrees
Find d1 and d2 separately.
100 divided by 2 = 50 degrees
Use d1 to find b1 to find total of a1 and a2.
b1 is parallel to d1 so b1 = 50 degrees
a1 and a2 = 180 - 50 - 50 = 80 degrees
a1 = 80 divided by 2 = 40
Since a1 and c1 are parallel due to alternate angles, c1 is 40 degrees
Find b2 now which requires you to do total - minus all angles in the triangle with angle b2.
180 - 40 - 50 - 40 = 50 degrees (angle b2)
AOB has b1 and a1.
40 + 50 = 90 degrees (a1 + b1 = AOB)
The answer is 90 degrees
Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- By definition, the perimeter of the figure is the sum of the lenght of each side. Then, you must make the addition as following:

Where
is the perimeter of the figure.
- Add the like terms, then, you obtain the following expression in simplest form:

Answer:
assuming it is a circular cylinder it would be A
Step-by-step explanation: