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:
Step-by-step explanation:
The given function is
Which can be rewritten also as
We want to find the values of x for which
In order to do that, we just substitute -12 into f(x), and we solve the equation for x:
Answer:
ANSWER: D
Step-by-step explanation:
The two lines intersect at the point (4,-1)
