Answer: OH SO LIKE CHESTER WAS A REALLY BAD PERSON.
:P
ABC is a right triangle, so by Pythagoras' theorem,
![AB^2+AC^2=BC^2\implies BC=\sqrt{4^2+9^2}=\sqrt{97}](https://tex.z-dn.net/?f=AB%5E2%2BAC%5E2%3DBC%5E2%5Cimplies%20BC%3D%5Csqrt%7B4%5E2%2B9%5E2%7D%3D%5Csqrt%7B97%7D)
Then by the law of sines,
![\dfrac{\sin A}{BC}=\dfrac{\sin C}{AB}\iff\dfrac1{\sqrt{97}}=\dfrac{\sin C}4\implies\sin C=\dfrac4{\sqrt{97}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin%20A%7D%7BBC%7D%3D%5Cdfrac%7B%5Csin%20C%7D%7BAB%7D%5Ciff%5Cdfrac1%7B%5Csqrt%7B97%7D%7D%3D%5Cdfrac%7B%5Csin%20C%7D4%5Cimplies%5Csin%20C%3D%5Cdfrac4%7B%5Csqrt%7B97%7D%7D)
![\implies C=\sin^{-1}\dfrac4{\sqrt{97}}\approx24^\circ](https://tex.z-dn.net/?f=%5Cimplies%20C%3D%5Csin%5E%7B-1%7D%5Cdfrac4%7B%5Csqrt%7B97%7D%7D%5Capprox24%5E%5Ccirc)
Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
Answer:
50 i think
Step-by-step explanation:
Commission = 20% x 85 = $17
Salary = $82 + $17 = $99 <=== this much she made.