Carl and Rose' balconies make up the base of an isosceles triangle.
Their distances from the flagpole is the same.
From the question, we understand that:
- Carl and Rose live on a straight line
- The measure of angle from each person's balcony to the flagpole is the same
The above highlights mean that:
The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.
Where Carl and Rose' balconies form the base of the isosceles triangle.
Hence, their distances from the flagpole is the same.
Read more about distances at:
brainly.com/question/12961022
B) 35
the formula is .5(outer angle - inner angle) = .5(100-30)=.5*70=35
Solving for B = 0
Then We have A which is = 81 ^b
Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
