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)
b. alternate angles are equal
hope this helps!!
Answer:
7
Step-by-step explanation:
7 because it's not asking for squares it asking for cubes