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: 180cm
Explanation:
The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.
1/2(6)(12) = 36cm
Multiply by 4 = 144
For square: 6 • 6 = 36cm
144cm + 36cm = 180cm
115 - 40 = 75
Because 115 is the total and your getting rid of the 40 other degrees in the 115