since they're similair then similair sides will be proportional
CB is similair to EF
\frac{6}{8}86 = \frac{3}{4}43
same thing if you try with the hypotenuse AB similair to DE
\frac{13.5}{18}1813.5 = \frac{3}{4}43
So, if you multiply r (DF) by 3/4 you will get the similair side AC
rx 3/4=12
r= 12÷ 3/4
<h3>r=16.</h3>
<h2>i HOPE IT'S HELP </h2><h3 />
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
You have to be very careful how you set this up. For every girl (who counts as 1) there are 3 boys (who count as 3). The total number in the proportion is 3 + 1 =4. You are given a total, but that is both boys and girls. That's why you need the 4.
3/4 = x / 236 Cross multiply
4x = 3 * 236
4x = 708 Divide by 4
x = 708/4
x = 177
There are 177 boys at the school and 236 - 177 = 59 girls.
It 42 units hopes this helps
Answer:
5.9625
Step-by-step explanation: