They are similar and the answer is SSS
The first one is 17 13/15 the second one is 22 1/20
Answer:
Elgas is 35.
Step-by-step explanation:
Let's set up an equation.
Alvin is 7 years younger than Elgas.
A = E - 7
The sum of their ages is 63.
A + E = 63
Let's use substitution.
Plug in the first equation of A into the second equation.
A + E = 63
(E - 7) + E = 63
Combine like terms.
2E - 7 = 63
Add 7 to both sides.
2E = 70
Divide both sides by 2.
E = 35
Elgas is 35.
Hope this helps!
Answer:
About 9.1 yards tall.
Step-by-step explanation:
So, we can draw the right triangle shown below:
We want to find h.
Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:
![\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%28x%5E%5Ccirc%29%3D%5Cfrac%7B%5Ctext%7BOpposite%7D%7D%7B%5Ctext%7BAdjacent%7D%7D)
So:
![\displaystyle \tan(20)=\frac{h}{25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%2820%29%3D%5Cfrac%7Bh%7D%7B25%7D)
Therefore:
![\displaystyle h=25\tan(20)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%3D25%5Ctan%2820%29)
Use a calculator. Ensure your calculator is in the correct mode (degrees mode):
![h\approx 9.1\text{ yards}](https://tex.z-dn.net/?f=h%5Capprox%209.1%5Ctext%7B%20yards%7D)
The goal post is around 9.1 yards tall.