Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / <span>8St^2
Rewriting the squared terms in simplified form :
</span>Width = 16 x S x S x t / <span>8 x S x t x t
</span>Cancelling the like terms
Width = 16 x S / <span>8 x t
</span>Cancelling the numeric terms :
Modify the values.
U have a lot of calculators in google btw.
102.666667 feet / second
Answer:
<em>A) similar; SAS similarity.</em>
Step-by-step explanation:
<u>SAS Triangle Similarity</u>
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5
Sides JK and BC have a ratio of 81/18 = 4.5
Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.
A) similar; SAS similarity.
Answer:
x greater than or equal to -3
Answer:
![43.87^{\circ}](https://tex.z-dn.net/?f=43.87%5E%7B%5Ccirc%7D)
Step-by-step explanation:
We are given that
Height of mountain=350 m
Distance from the tree to the skier=505 m
We have to find the angle of depression from where the skier is standing to the base of the tree.
In triangle ABC
![\frac{AB}{AC}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAC%7D%3Dsin%5Ctheta)
By using the formula
![\frac{Perpendicular\;side}{Hypotenuse}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7BPerpendicular%5C%3Bside%7D%7BHypotenuse%7D%3Dsin%5Ctheta)
![\frac{350}{505}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7B350%7D%7B505%7D%3Dsin%5Ctheta)
![sin^{-1}(\frac{350}{505})=\theta](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%28%5Cfrac%7B350%7D%7B505%7D%29%3D%5Ctheta)
![\theta=43.87^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D43.87%5E%7B%5Ccirc%7D)
Hence, the angle of depression from where the skier is standing to the base of the tree=![43.87^{\circ}](https://tex.z-dn.net/?f=43.87%5E%7B%5Ccirc%7D)